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Finding the Fourth Proportional to 12,598.31, 17,386.25 and 7,292.10

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Solution

The fourth proportional to 12,598.31, 17,386.25 and 7,292.10 is: 10,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.31 : 17,386.25 = 7,292.10 : x
  2. Step 2: Convert to fraction form
    12,598.31/17,386.25 = 7,292.10/x
  3. Step 3: Cross multiply
    12,598.31x = 17,386.25 × 7,292.10
  4. Step 4: Simplify right side
    12,598.31x = 126,782,237.16
  5. Step 5: Solve for x
    x = 126,782,237.16/12,598.31
  6. Step 6: Final answer
    x = 10,063.44

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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.