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Finding the Fourth Proportional to 13,134.71, 18,128.24 and 7,829.87

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Solution

The fourth proportional to 13,134.71, 18,128.24 and 7,829.87 is: 10,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.71 : 18,128.24 = 7,829.87 : x
  2. Step 2: Convert to fraction form
    13,134.71/18,128.24 = 7,829.87/x
  3. Step 3: Cross multiply
    13,134.71x = 18,128.24 × 7,829.87
  4. Step 4: Simplify right side
    13,134.71x = 141,941,632.74
  5. Step 5: Solve for x
    x = 141,941,632.74/13,134.71
  6. Step 6: Final answer
    x = 10,806.61

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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.