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Finding the Fourth Proportional to 16,509.28, 24,767.82 and 5,416

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Solution

The fourth proportional to 16,509.28, 24,767.82 and 5,416 is: 8,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.28 : 24,767.82 = 5,416 : x
  2. Step 2: Convert to fraction form
    16,509.28/24,767.82 = 5,416/x
  3. Step 3: Cross multiply
    16,509.28x = 24,767.82 × 5,416
  4. Step 4: Simplify right side
    16,509.28x = 134,142,513.12
  5. Step 5: Solve for x
    x = 134,142,513.12/16,509.28
  6. Step 6: Final answer
    x = 8,125.28

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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.