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Finding the Fourth Proportional to 12,712.12, 17,548.86 and 8,470.24

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Solution

The fourth proportional to 12,712.12, 17,548.86 and 8,470.24 is: 11,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.12 : 17,548.86 = 8,470.24 : x
  2. Step 2: Convert to fraction form
    12,712.12/17,548.86 = 8,470.24/x
  3. Step 3: Cross multiply
    12,712.12x = 17,548.86 × 8,470.24
  4. Step 4: Simplify right side
    12,712.12x = 148,643,055.93
  5. Step 5: Solve for x
    x = 148,643,055.93/12,712.12
  6. Step 6: Final answer
    x = 11,693.02

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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.