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Finding the Fourth Proportional to 12,602.67, 17,387.91 and 7,297.31

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Solution

The fourth proportional to 12,602.67, 17,387.91 and 7,297.31 is: 10,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.67 : 17,387.91 = 7,297.31 : x
  2. Step 2: Convert to fraction form
    12,602.67/17,387.91 = 7,297.31/x
  3. Step 3: Cross multiply
    12,602.67x = 17,387.91 × 7,297.31
  4. Step 4: Simplify right side
    12,602.67x = 126,884,882.58
  5. Step 5: Solve for x
    x = 126,884,882.58/12,602.67
  6. Step 6: Final answer
    x = 10,068.10

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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.