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Finding the Fourth Proportional to 12,384.38, 18,575.88 and 9,056.04

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Solution

The fourth proportional to 12,384.38, 18,575.88 and 9,056.04 is: 13,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.38 : 18,575.88 = 9,056.04 : x
  2. Step 2: Convert to fraction form
    12,384.38/18,575.88 = 9,056.04/x
  3. Step 3: Cross multiply
    12,384.38x = 18,575.88 × 9,056.04
  4. Step 4: Simplify right side
    12,384.38x = 168,223,912.32
  5. Step 5: Solve for x
    x = 168,223,912.32/12,384.38
  6. Step 6: Final answer
    x = 13,583.56

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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.