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Finding the Fourth Proportional to 20,381.60, 30,527.24 and 15,666.91

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Solution

The fourth proportional to 20,381.60, 30,527.24 and 15,666.91 is: 23,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.60 : 30,527.24 = 15,666.91 : x
  2. Step 2: Convert to fraction form
    20,381.60/30,527.24 = 15,666.91/x
  3. Step 3: Cross multiply
    20,381.60x = 30,527.24 × 15,666.91
  4. Step 4: Simplify right side
    20,381.60x = 478,267,366.98
  5. Step 5: Solve for x
    x = 478,267,366.98/20,381.60
  6. Step 6: Final answer
    x = 23,465.64

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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.