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Finding the Fourth Proportional to 21,809.78, 32,730.97 and 8,484.87

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Solution

The fourth proportional to 21,809.78, 32,730.97 and 8,484.87 is: 12,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.78 : 32,730.97 = 8,484.87 : x
  2. Step 2: Convert to fraction form
    21,809.78/32,730.97 = 8,484.87/x
  3. Step 3: Cross multiply
    21,809.78x = 32,730.97 × 8,484.87
  4. Step 4: Simplify right side
    21,809.78x = 277,718,025.42
  5. Step 5: Solve for x
    x = 277,718,025.42/21,809.78
  6. Step 6: Final answer
    x = 12,733.65

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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.