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Finding the Fourth Proportional to 16,302.92, 24,454.38 and 5,780.66

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Solution

The fourth proportional to 16,302.92, 24,454.38 and 5,780.66 is: 8,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.92 : 24,454.38 = 5,780.66 : x
  2. Step 2: Convert to fraction form
    16,302.92/24,454.38 = 5,780.66/x
  3. Step 3: Cross multiply
    16,302.92x = 24,454.38 × 5,780.66
  4. Step 4: Simplify right side
    16,302.92x = 141,362,456.29
  5. Step 5: Solve for x
    x = 141,362,456.29/16,302.92
  6. Step 6: Final answer
    x = 8,670.99

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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.