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Finding the Fourth Proportional to 12,708.86, 17,549.76 and 8,240.10

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Solution

The fourth proportional to 12,708.86, 17,549.76 and 8,240.10 is: 11,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.86 : 17,549.76 = 8,240.10 : x
  2. Step 2: Convert to fraction form
    12,708.86/17,549.76 = 8,240.10/x
  3. Step 3: Cross multiply
    12,708.86x = 17,549.76 × 8,240.10
  4. Step 4: Simplify right side
    12,708.86x = 144,611,777.38
  5. Step 5: Solve for x
    x = 144,611,777.38/12,708.86
  6. Step 6: Final answer
    x = 11,378.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.