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Finding the Fourth Proportional to 21,400.84, 32,083.85 and 8,930.15

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Solution

The fourth proportional to 21,400.84, 32,083.85 and 8,930.15 is: 13,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.84 : 32,083.85 = 8,930.15 : x
  2. Step 2: Convert to fraction form
    21,400.84/32,083.85 = 8,930.15/x
  3. Step 3: Cross multiply
    21,400.84x = 32,083.85 × 8,930.15
  4. Step 4: Simplify right side
    21,400.84x = 286,513,432.66
  5. Step 5: Solve for x
    x = 286,513,432.66/21,400.84
  6. Step 6: Final answer
    x = 13,387.96

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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.