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Finding the Fourth Proportional to 12,541.97, 17,308.07 and 7,165.13

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Solution

The fourth proportional to 12,541.97, 17,308.07 and 7,165.13 is: 9,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.97 : 17,308.07 = 7,165.13 : x
  2. Step 2: Convert to fraction form
    12,541.97/17,308.07 = 7,165.13/x
  3. Step 3: Cross multiply
    12,541.97x = 17,308.07 × 7,165.13
  4. Step 4: Simplify right side
    12,541.97x = 124,014,535.77
  5. Step 5: Solve for x
    x = 124,014,535.77/12,541.97
  6. Step 6: Final answer
    x = 9,887.96

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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.