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Finding the Fourth Proportional to 16,278.09, 24,417.13 and 5,188.17

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Solution

The fourth proportional to 16,278.09, 24,417.13 and 5,188.17 is: 7,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.09 : 24,417.13 = 5,188.17 : x
  2. Step 2: Convert to fraction form
    16,278.09/24,417.13 = 5,188.17/x
  3. Step 3: Cross multiply
    16,278.09x = 24,417.13 × 5,188.17
  4. Step 4: Simplify right side
    16,278.09x = 126,680,221.35
  5. Step 5: Solve for x
    x = 126,680,221.35/16,278.09
  6. Step 6: Final answer
    x = 7,782.25

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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.