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Finding the Fourth Proportional to 13,078.71, 18,047.25 and 7,772.49

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Solution

The fourth proportional to 13,078.71, 18,047.25 and 7,772.49 is: 10,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.71 : 18,047.25 = 7,772.49 : x
  2. Step 2: Convert to fraction form
    13,078.71/18,047.25 = 7,772.49/x
  3. Step 3: Cross multiply
    13,078.71x = 18,047.25 × 7,772.49
  4. Step 4: Simplify right side
    13,078.71x = 140,272,070.15
  5. Step 5: Solve for x
    x = 140,272,070.15/13,078.71
  6. Step 6: Final answer
    x = 10,725.22

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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.