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Finding the Fourth Proportional to 12,468.27, 17,203.86 and 7,432.96

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Solution

The fourth proportional to 12,468.27, 17,203.86 and 7,432.96 is: 10,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.27 : 17,203.86 = 7,432.96 : x
  2. Step 2: Convert to fraction form
    12,468.27/17,203.86 = 7,432.96/x
  3. Step 3: Cross multiply
    12,468.27x = 17,203.86 × 7,432.96
  4. Step 4: Simplify right side
    12,468.27x = 127,875,480.04
  5. Step 5: Solve for x
    x = 127,875,480.04/12,468.27
  6. Step 6: Final answer
    x = 10,256.08

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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.