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Finding the Fourth Proportional to 13,132.71, 18,125.48 and 7,827.87

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Solution

The fourth proportional to 13,132.71, 18,125.48 and 7,827.87 is: 10,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.71 : 18,125.48 = 7,827.87 : x
  2. Step 2: Convert to fraction form
    13,132.71/18,125.48 = 7,827.87/x
  3. Step 3: Cross multiply
    13,132.71x = 18,125.48 × 7,827.87
  4. Step 4: Simplify right side
    13,132.71x = 141,883,901.13
  5. Step 5: Solve for x
    x = 141,883,901.13/13,132.71
  6. Step 6: Final answer
    x = 10,803.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.