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Finding the Fourth Proportional to 13,790.40, 19,031.04 and 7,503

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Solution

The fourth proportional to 13,790.40, 19,031.04 and 7,503 is: 10,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.40 : 19,031.04 = 7,503 : x
  2. Step 2: Convert to fraction form
    13,790.40/19,031.04 = 7,503/x
  3. Step 3: Cross multiply
    13,790.40x = 19,031.04 × 7,503
  4. Step 4: Simplify right side
    13,790.40x = 142,789,893.12
  5. Step 5: Solve for x
    x = 142,789,893.12/13,790.40
  6. Step 6: Final answer
    x = 10,354.30

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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.