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Finding the Fourth Proportional to 15,734, 21,715.08 and 10,143.92

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Solution

The fourth proportional to 15,734, 21,715.08 and 10,143.92 is: 14,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 21,715.08 = 10,143.92 : x
  2. Step 2: Convert to fraction form
    15,734/21,715.08 = 10,143.92/x
  3. Step 3: Cross multiply
    15,734x = 21,715.08 × 10,143.92
  4. Step 4: Simplify right side
    15,734x = 220,276,034.31
  5. Step 5: Solve for x
    x = 220,276,034.31/15,734
  6. Step 6: Final answer
    x = 14,000.00

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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.