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Finding the Fourth Proportional to 16,257.74, 24,390.86 and 6,898.19

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Solution

The fourth proportional to 16,257.74, 24,390.86 and 6,898.19 is: 10,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.74 : 24,390.86 = 6,898.19 : x
  2. Step 2: Convert to fraction form
    16,257.74/24,390.86 = 6,898.19/x
  3. Step 3: Cross multiply
    16,257.74x = 24,390.86 × 6,898.19
  4. Step 4: Simplify right side
    16,257.74x = 168,252,630.10
  5. Step 5: Solve for x
    x = 168,252,630.10/16,257.74
  6. Step 6: Final answer
    x = 10,349.08

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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.