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Finding the Fourth Proportional to 20,565.36, 30,865.32 and 16,487.28

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Solution

The fourth proportional to 20,565.36, 30,865.32 and 16,487.28 is: 24,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.36 : 30,865.32 = 16,487.28 : x
  2. Step 2: Convert to fraction form
    20,565.36/30,865.32 = 16,487.28/x
  3. Step 3: Cross multiply
    20,565.36x = 30,865.32 × 16,487.28
  4. Step 4: Simplify right side
    20,565.36x = 508,885,173.13
  5. Step 5: Solve for x
    x = 508,885,173.13/20,565.36
  6. Step 6: Final answer
    x = 24,744.77

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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.