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Finding the Fourth Proportional to 12,454.65, 18,681.57 and 5,056.92

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Solution

The fourth proportional to 12,454.65, 18,681.57 and 5,056.92 is: 7,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.65 : 18,681.57 = 5,056.92 : x
  2. Step 2: Convert to fraction form
    12,454.65/18,681.57 = 5,056.92/x
  3. Step 3: Cross multiply
    12,454.65x = 18,681.57 × 5,056.92
  4. Step 4: Simplify right side
    12,454.65x = 94,471,204.96
  5. Step 5: Solve for x
    x = 94,471,204.96/12,454.65
  6. Step 6: Final answer
    x = 7,585.22

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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.