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Finding the Fourth Proportional to 21,612.54, 32,402.88 and 8,458.14

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Solution

The fourth proportional to 21,612.54, 32,402.88 and 8,458.14 is: 12,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.54 : 32,402.88 = 8,458.14 : x
  2. Step 2: Convert to fraction form
    21,612.54/32,402.88 = 8,458.14/x
  3. Step 3: Cross multiply
    21,612.54x = 32,402.88 × 8,458.14
  4. Step 4: Simplify right side
    21,612.54x = 274,068,095.44
  5. Step 5: Solve for x
    x = 274,068,095.44/21,612.54
  6. Step 6: Final answer
    x = 12,680.98

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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.