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Finding the Fourth Proportional to 12,468.10, 17,201.72 and 7,090

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Solution

The fourth proportional to 12,468.10, 17,201.72 and 7,090 is: 9,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.10 : 17,201.72 = 7,090 : x
  2. Step 2: Convert to fraction form
    12,468.10/17,201.72 = 7,090/x
  3. Step 3: Cross multiply
    12,468.10x = 17,201.72 × 7,090
  4. Step 4: Simplify right side
    12,468.10x = 121,960,194.80
  5. Step 5: Solve for x
    x = 121,960,194.80/12,468.10
  6. Step 6: Final answer
    x = 9,781.78

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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.