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Finding the Fourth Proportional to 13,140.71, 18,134.57 and 7,475.16

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Solution

The fourth proportional to 13,140.71, 18,134.57 and 7,475.16 is: 10,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.71 : 18,134.57 = 7,475.16 : x
  2. Step 2: Convert to fraction form
    13,140.71/18,134.57 = 7,475.16/x
  3. Step 3: Cross multiply
    13,140.71x = 18,134.57 × 7,475.16
  4. Step 4: Simplify right side
    13,140.71x = 135,558,830.97
  5. Step 5: Solve for x
    x = 135,558,830.97/13,140.71
  6. Step 6: Final answer
    x = 10,315.95

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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.