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Finding the Fourth Proportional to 21,705.82, 32,569.29 and 9,867.32

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Solution

The fourth proportional to 21,705.82, 32,569.29 and 9,867.32 is: 14,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.82 : 32,569.29 = 9,867.32 : x
  2. Step 2: Convert to fraction form
    21,705.82/32,569.29 = 9,867.32/x
  3. Step 3: Cross multiply
    21,705.82x = 32,569.29 × 9,867.32
  4. Step 4: Simplify right side
    21,705.82x = 321,371,565.89
  5. Step 5: Solve for x
    x = 321,371,565.89/21,705.82
  6. Step 6: Final answer
    x = 14,805.78

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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.