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Finding the Fourth Proportional to 12,417.88, 17,139.12 and 7,116.24

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Solution

The fourth proportional to 12,417.88, 17,139.12 and 7,116.24 is: 9,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.88 : 17,139.12 = 7,116.24 : x
  2. Step 2: Convert to fraction form
    12,417.88/17,139.12 = 7,116.24/x
  3. Step 3: Cross multiply
    12,417.88x = 17,139.12 × 7,116.24
  4. Step 4: Simplify right side
    12,417.88x = 121,966,091.31
  5. Step 5: Solve for x
    x = 121,966,091.31/12,417.88
  6. Step 6: Final answer
    x = 9,821.81

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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.