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Finding the Fourth Proportional to 13,002.50, 17,943.46 and 7,338.46

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Solution

The fourth proportional to 13,002.50, 17,943.46 and 7,338.46 is: 10,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.50 : 17,943.46 = 7,338.46 : x
  2. Step 2: Convert to fraction form
    13,002.50/17,943.46 = 7,338.46/x
  3. Step 3: Cross multiply
    13,002.50x = 17,943.46 × 7,338.46
  4. Step 4: Simplify right side
    13,002.50x = 131,677,363.47
  5. Step 5: Solve for x
    x = 131,677,363.47/13,002.50
  6. Step 6: Final answer
    x = 10,127.08

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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.