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Finding the Fourth Proportional to 13,002.54, 17,943.51 and 7,338.50

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Solution

The fourth proportional to 13,002.54, 17,943.51 and 7,338.50 is: 10,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.54 : 17,943.51 = 7,338.50 : x
  2. Step 2: Convert to fraction form
    13,002.54/17,943.51 = 7,338.50/x
  3. Step 3: Cross multiply
    13,002.54x = 17,943.51 × 7,338.50
  4. Step 4: Simplify right side
    13,002.54x = 131,678,358.42
  5. Step 5: Solve for x
    x = 131,678,358.42/13,002.54
  6. Step 6: Final answer
    x = 10,127.13

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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.