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Finding the Fourth Proportional to 13,006.10, 17,943.95 and 7,340.15

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Solution

The fourth proportional to 13,006.10, 17,943.95 and 7,340.15 is: 10,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.10 : 17,943.95 = 7,340.15 : x
  2. Step 2: Convert to fraction form
    13,006.10/17,943.95 = 7,340.15/x
  3. Step 3: Cross multiply
    13,006.10x = 17,943.95 × 7,340.15
  4. Step 4: Simplify right side
    13,006.10x = 131,711,347.80
  5. Step 5: Solve for x
    x = 131,711,347.80/13,006.10
  6. Step 6: Final answer
    x = 10,126.89

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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.