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Finding the Fourth Proportional to 12,281.58, 18,423.72 and 5,709.78

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Solution

The fourth proportional to 12,281.58, 18,423.72 and 5,709.78 is: 8,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.58 : 18,423.72 = 5,709.78 : x
  2. Step 2: Convert to fraction form
    12,281.58/18,423.72 = 5,709.78/x
  3. Step 3: Cross multiply
    12,281.58x = 18,423.72 × 5,709.78
  4. Step 4: Simplify right side
    12,281.58x = 105,195,387.98
  5. Step 5: Solve for x
    x = 105,195,387.98/12,281.58
  6. Step 6: Final answer
    x = 8,565.30

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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.