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Finding the Fourth Proportional to 16,781.08, 25,167.73 and 7,416

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Solution

The fourth proportional to 16,781.08, 25,167.73 and 7,416 is: 11,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.08 : 25,167.73 = 7,416 : x
  2. Step 2: Convert to fraction form
    16,781.08/25,167.73 = 7,416/x
  3. Step 3: Cross multiply
    16,781.08x = 25,167.73 × 7,416
  4. Step 4: Simplify right side
    16,781.08x = 186,643,885.68
  5. Step 5: Solve for x
    x = 186,643,885.68/16,781.08
  6. Step 6: Final answer
    x = 11,122.28

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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.