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Finding the Fourth Proportional to 19,522, 29,265.18 and 7,031.80

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Solution

The fourth proportional to 19,522, 29,265.18 and 7,031.80 is: 10,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522 : 29,265.18 = 7,031.80 : x
  2. Step 2: Convert to fraction form
    19,522/29,265.18 = 7,031.80/x
  3. Step 3: Cross multiply
    19,522x = 29,265.18 × 7,031.80
  4. Step 4: Simplify right side
    19,522x = 205,786,892.72
  5. Step 5: Solve for x
    x = 205,786,892.72/19,522
  6. Step 6: Final answer
    x = 10,541.28

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Why These Related Problems?

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