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Finding the Fourth Proportional to 21,574.96, 32,356.46 and 13,665.71

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Solution

The fourth proportional to 21,574.96, 32,356.46 and 13,665.71 is: 20,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.96 : 32,356.46 = 13,665.71 : x
  2. Step 2: Convert to fraction form
    21,574.96/32,356.46 = 13,665.71/x
  3. Step 3: Cross multiply
    21,574.96x = 32,356.46 × 13,665.71
  4. Step 4: Simplify right side
    21,574.96x = 442,174,114.04
  5. Step 5: Solve for x
    x = 442,174,114.04/21,574.96
  6. Step 6: Final answer
    x = 20,494.78

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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.