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Finding the Fourth Proportional to 23,497.68, 32,426.24 and 15,114.18

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Solution

The fourth proportional to 23,497.68, 32,426.24 and 15,114.18 is: 20,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.68 : 32,426.24 = 15,114.18 : x
  2. Step 2: Convert to fraction form
    23,497.68/32,426.24 = 15,114.18/x
  3. Step 3: Cross multiply
    23,497.68x = 32,426.24 × 15,114.18
  4. Step 4: Simplify right side
    23,497.68x = 490,096,028.08
  5. Step 5: Solve for x
    x = 490,096,028.08/23,497.68
  6. Step 6: Final answer
    x = 20,857.21

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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.