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Finding the Fourth Proportional to 12,883.32, 17,775.78 and 8,165.88

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Solution

The fourth proportional to 12,883.32, 17,775.78 and 8,165.88 is: 11,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.32 : 17,775.78 = 8,165.88 : x
  2. Step 2: Convert to fraction form
    12,883.32/17,775.78 = 8,165.88/x
  3. Step 3: Cross multiply
    12,883.32x = 17,775.78 × 8,165.88
  4. Step 4: Simplify right side
    12,883.32x = 145,154,886.39
  5. Step 5: Solve for x
    x = 145,154,886.39/12,883.32
  6. Step 6: Final answer
    x = 11,266.89

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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.