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Finding the Fourth Proportional to 12,512.60, 17,281.56 and 8,526.80

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Solution

The fourth proportional to 12,512.60, 17,281.56 and 8,526.80 is: 11,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.60 : 17,281.56 = 8,526.80 : x
  2. Step 2: Convert to fraction form
    12,512.60/17,281.56 = 8,526.80/x
  3. Step 3: Cross multiply
    12,512.60x = 17,281.56 × 8,526.80
  4. Step 4: Simplify right side
    12,512.60x = 147,356,351.38
  5. Step 5: Solve for x
    x = 147,356,351.38/12,512.60
  6. Step 6: Final answer
    x = 11,776.63

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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.