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Finding the Fourth Proportional to 12,575.88, 17,351.54 and 8,381.32

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Solution

The fourth proportional to 12,575.88, 17,351.54 and 8,381.32 is: 11,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.88 : 17,351.54 = 8,381.32 : x
  2. Step 2: Convert to fraction form
    12,575.88/17,351.54 = 8,381.32/x
  3. Step 3: Cross multiply
    12,575.88x = 17,351.54 × 8,381.32
  4. Step 4: Simplify right side
    12,575.88x = 145,428,809.23
  5. Step 5: Solve for x
    x = 145,428,809.23/12,575.88
  6. Step 6: Final answer
    x = 11,564.11

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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.