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Finding the Fourth Proportional to 21,713.10, 32,580.45 and 8,565.90

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Solution

The fourth proportional to 21,713.10, 32,580.45 and 8,565.90 is: 12,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.10 : 32,580.45 = 8,565.90 : x
  2. Step 2: Convert to fraction form
    21,713.10/32,580.45 = 8,565.90/x
  3. Step 3: Cross multiply
    21,713.10x = 32,580.45 × 8,565.90
  4. Step 4: Simplify right side
    21,713.10x = 279,080,876.66
  5. Step 5: Solve for x
    x = 279,080,876.66/21,713.10
  6. Step 6: Final answer
    x = 12,853.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.