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Finding the Fourth Proportional to 16,781.60, 25,172.64 and 7,291.76

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Solution

The fourth proportional to 16,781.60, 25,172.64 and 7,291.76 is: 10,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.60 : 25,172.64 = 7,291.76 : x
  2. Step 2: Convert to fraction form
    16,781.60/25,172.64 = 7,291.76/x
  3. Step 3: Cross multiply
    16,781.60x = 25,172.64 × 7,291.76
  4. Step 4: Simplify right side
    16,781.60x = 183,552,849.45
  5. Step 5: Solve for x
    x = 183,552,849.45/16,781.60
  6. Step 6: Final answer
    x = 10,937.74

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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.