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Finding the Fourth Proportional to 12,574.26, 17,351.13 and 7,538.34

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Solution

The fourth proportional to 12,574.26, 17,351.13 and 7,538.34 is: 10,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.26 : 17,351.13 = 7,538.34 : x
  2. Step 2: Convert to fraction form
    12,574.26/17,351.13 = 7,538.34/x
  3. Step 3: Cross multiply
    12,574.26x = 17,351.13 × 7,538.34
  4. Step 4: Simplify right side
    12,574.26x = 130,798,717.32
  5. Step 5: Solve for x
    x = 130,798,717.32/12,574.26
  6. Step 6: Final answer
    x = 10,402.10

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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.