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Finding the Fourth Proportional to 38,382.16, 57,573.16 and 12,089.20

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Solution

The fourth proportional to 38,382.16, 57,573.16 and 12,089.20 is: 18,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.16 : 57,573.16 = 12,089.20 : x
  2. Step 2: Convert to fraction form
    38,382.16/57,573.16 = 12,089.20/x
  3. Step 3: Cross multiply
    38,382.16x = 57,573.16 × 12,089.20
  4. Step 4: Simplify right side
    38,382.16x = 696,013,445.87
  5. Step 5: Solve for x
    x = 696,013,445.87/38,382.16
  6. Step 6: Final answer
    x = 18,133.77

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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.