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Finding the Fourth Proportional to 13,040.71, 18,010.95 and 8,784.38

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Solution

The fourth proportional to 13,040.71, 18,010.95 and 8,784.38 is: 12,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.71 : 18,010.95 = 8,784.38 : x
  2. Step 2: Convert to fraction form
    13,040.71/18,010.95 = 8,784.38/x
  3. Step 3: Cross multiply
    13,040.71x = 18,010.95 × 8,784.38
  4. Step 4: Simplify right side
    13,040.71x = 158,215,028.96
  5. Step 5: Solve for x
    x = 158,215,028.96/13,040.71
  6. Step 6: Final answer
    x = 12,132.39

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Why These Related Problems?

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