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Finding the Fourth Proportional to 12,698.09, 19,040.72 and 7,434.69

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Solution

The fourth proportional to 12,698.09, 19,040.72 and 7,434.69 is: 11,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.09 : 19,040.72 = 7,434.69 : x
  2. Step 2: Convert to fraction form
    12,698.09/19,040.72 = 7,434.69/x
  3. Step 3: Cross multiply
    12,698.09x = 19,040.72 × 7,434.69
  4. Step 4: Simplify right side
    12,698.09x = 141,561,869.16
  5. Step 5: Solve for x
    x = 141,561,869.16/12,698.09
  6. Step 6: Final answer
    x = 11,148.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.