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Finding the Fourth Proportional to 15,762.81, 21,753.68 and 8,689.23

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Solution

The fourth proportional to 15,762.81, 21,753.68 and 8,689.23 is: 11,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.81 : 21,753.68 = 8,689.23 : x
  2. Step 2: Convert to fraction form
    15,762.81/21,753.68 = 8,689.23/x
  3. Step 3: Cross multiply
    15,762.81x = 21,753.68 × 8,689.23
  4. Step 4: Simplify right side
    15,762.81x = 189,022,685.42
  5. Step 5: Solve for x
    x = 189,022,685.42/15,762.81
  6. Step 6: Final answer
    x = 11,991.69

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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.