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Finding the Fourth Proportional to 19,762.87, 29,638.32 and 10,397.72

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Solution

The fourth proportional to 19,762.87, 29,638.32 and 10,397.72 is: 15,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.87 : 29,638.32 = 10,397.72 : x
  2. Step 2: Convert to fraction form
    19,762.87/29,638.32 = 10,397.72/x
  3. Step 3: Cross multiply
    19,762.87x = 29,638.32 × 10,397.72
  4. Step 4: Simplify right side
    19,762.87x = 308,170,952.63
  5. Step 5: Solve for x
    x = 308,170,952.63/19,762.87
  6. Step 6: Final answer
    x = 15,593.43

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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.