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Finding the Fourth Proportional to 21,471.84, 32,214.65 and 15,244.16

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Solution

The fourth proportional to 21,471.84, 32,214.65 and 15,244.16 is: 22,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.84 : 32,214.65 = 15,244.16 : x
  2. Step 2: Convert to fraction form
    21,471.84/32,214.65 = 15,244.16/x
  3. Step 3: Cross multiply
    21,471.84x = 32,214.65 × 15,244.16
  4. Step 4: Simplify right side
    21,471.84x = 491,085,041.65
  5. Step 5: Solve for x
    x = 491,085,041.65/21,471.84
  6. Step 6: Final answer
    x = 22,871.12

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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.