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Finding the Fourth Proportional to 20,381.50, 30,527.02 and 15,666.81

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Solution

The fourth proportional to 20,381.50, 30,527.02 and 15,666.81 is: 23,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.50 : 30,527.02 = 15,666.81 : x
  2. Step 2: Convert to fraction form
    20,381.50/30,527.02 = 15,666.81/x
  3. Step 3: Cross multiply
    20,381.50x = 30,527.02 × 15,666.81
  4. Step 4: Simplify right side
    20,381.50x = 478,261,022.21
  5. Step 5: Solve for x
    x = 478,261,022.21/20,381.50
  6. Step 6: Final answer
    x = 23,465.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.