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Finding the Fourth Proportional to 13,002.57, 17,943.45 and 7,034.22

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Solution

The fourth proportional to 13,002.57, 17,943.45 and 7,034.22 is: 9,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.57 : 17,943.45 = 7,034.22 : x
  2. Step 2: Convert to fraction form
    13,002.57/17,943.45 = 7,034.22/x
  3. Step 3: Cross multiply
    13,002.57x = 17,943.45 × 7,034.22
  4. Step 4: Simplify right side
    13,002.57x = 126,218,174.86
  5. Step 5: Solve for x
    x = 126,218,174.86/13,002.57
  6. Step 6: Final answer
    x = 9,707.17

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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.