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Finding the Fourth Proportional to 12,537.76, 17,308.56 and 8,566.24

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Solution

The fourth proportional to 12,537.76, 17,308.56 and 8,566.24 is: 11,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.76 : 17,308.56 = 8,566.24 : x
  2. Step 2: Convert to fraction form
    12,537.76/17,308.56 = 8,566.24/x
  3. Step 3: Cross multiply
    12,537.76x = 17,308.56 × 8,566.24
  4. Step 4: Simplify right side
    12,537.76x = 148,269,279.01
  5. Step 5: Solve for x
    x = 148,269,279.01/12,537.76
  6. Step 6: Final answer
    x = 11,825.82

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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.