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Finding the Fourth Proportional to 38,490.76, 57,741 and 12,186.10

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Solution

The fourth proportional to 38,490.76, 57,741 and 12,186.10 is: 18,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.76 : 57,741 = 12,186.10 : x
  2. Step 2: Convert to fraction form
    38,490.76/57,741 = 12,186.10/x
  3. Step 3: Cross multiply
    38,490.76x = 57,741 × 12,186.10
  4. Step 4: Simplify right side
    38,490.76x = 703,637,600.10
  5. Step 5: Solve for x
    x = 703,637,600.10/38,490.76
  6. Step 6: Final answer
    x = 18,280.69

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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.