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Finding the Fourth Proportional to 16,206.69, 24,314.13 and 4,519.91

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Solution

The fourth proportional to 16,206.69, 24,314.13 and 4,519.91 is: 6,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.69 : 24,314.13 = 4,519.91 : x
  2. Step 2: Convert to fraction form
    16,206.69/24,314.13 = 4,519.91/x
  3. Step 3: Cross multiply
    16,206.69x = 24,314.13 × 4,519.91
  4. Step 4: Simplify right side
    16,206.69x = 109,897,557.76
  5. Step 5: Solve for x
    x = 109,897,557.76/16,206.69
  6. Step 6: Final answer
    x = 6,781.00

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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.