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Finding the Fourth Proportional to 15,853.12, 21,877 and 9,138.32

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Solution

The fourth proportional to 15,853.12, 21,877 and 9,138.32 is: 12,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.12 : 21,877 = 9,138.32 : x
  2. Step 2: Convert to fraction form
    15,853.12/21,877 = 9,138.32/x
  3. Step 3: Cross multiply
    15,853.12x = 21,877 × 9,138.32
  4. Step 4: Simplify right side
    15,853.12x = 199,919,026.64
  5. Step 5: Solve for x
    x = 199,919,026.64/15,853.12
  6. Step 6: Final answer
    x = 12,610.71

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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.