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Finding the Fourth Proportional to 12,598.34, 17,386.25 and 7,562.97

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Solution

The fourth proportional to 12,598.34, 17,386.25 and 7,562.97 is: 10,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.34 : 17,386.25 = 7,562.97 : x
  2. Step 2: Convert to fraction form
    12,598.34/17,386.25 = 7,562.97/x
  3. Step 3: Cross multiply
    12,598.34x = 17,386.25 × 7,562.97
  4. Step 4: Simplify right side
    12,598.34x = 131,491,649.35
  5. Step 5: Solve for x
    x = 131,491,649.35/12,598.34
  6. Step 6: Final answer
    x = 10,437.22

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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.