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Finding the Fourth Proportional to 12,532.40, 18,787.80 and 6,376.40

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Solution

The fourth proportional to 12,532.40, 18,787.80 and 6,376.40 is: 9,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.40 : 18,787.80 = 6,376.40 : x
  2. Step 2: Convert to fraction form
    12,532.40/18,787.80 = 6,376.40/x
  3. Step 3: Cross multiply
    12,532.40x = 18,787.80 × 6,376.40
  4. Step 4: Simplify right side
    12,532.40x = 119,798,527.92
  5. Step 5: Solve for x
    x = 119,798,527.92/12,532.40
  6. Step 6: Final answer
    x = 9,559.11

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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.