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Finding the Fourth Proportional to 13,829,129.40, 19,083,698.40 and 7,634,043.12

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Solution

The fourth proportional to 13,829,129.40, 19,083,698.40 and 7,634,043.12 is: 10,534,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,129.40 : 19,083,698.40 = 7,634,043.12 : x
  2. Step 2: Convert to fraction form
    13,829,129.40/19,083,698.40 = 7,634,043.12/x
  3. Step 3: Cross multiply
    13,829,129.40x = 19,083,698.40 × 7,634,043.12
  4. Step 4: Simplify right side
    13,829,129.40x = 145,685,776,474,675
  5. Step 5: Solve for x
    x = 145,685,776,474,675/13,829,129.40
  6. Step 6: Final answer
    x = 10,534,703.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.