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Finding the Fourth Proportional to 12,508.32, 17,245.80 and 8,024.16

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Solution

The fourth proportional to 12,508.32, 17,245.80 and 8,024.16 is: 11,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.32 : 17,245.80 = 8,024.16 : x
  2. Step 2: Convert to fraction form
    12,508.32/17,245.80 = 8,024.16/x
  3. Step 3: Cross multiply
    12,508.32x = 17,245.80 × 8,024.16
  4. Step 4: Simplify right side
    12,508.32x = 138,383,058.53
  5. Step 5: Solve for x
    x = 138,383,058.53/12,508.32
  6. Step 6: Final answer
    x = 11,063.28

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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.