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Finding the Fourth Proportional to 21,827.84, 32,743.86 and 8,677.28

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Solution

The fourth proportional to 21,827.84, 32,743.86 and 8,677.28 is: 13,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.84 : 32,743.86 = 8,677.28 : x
  2. Step 2: Convert to fraction form
    21,827.84/32,743.86 = 8,677.28/x
  3. Step 3: Cross multiply
    21,827.84x = 32,743.86 × 8,677.28
  4. Step 4: Simplify right side
    21,827.84x = 284,127,641.50
  5. Step 5: Solve for x
    x = 284,127,641.50/21,827.84
  6. Step 6: Final answer
    x = 13,016.75

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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.