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Finding the Fourth Proportional to 21,490.47, 32,227.50 and 8,341.14

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Solution

The fourth proportional to 21,490.47, 32,227.50 and 8,341.14 is: 12,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.47 : 32,227.50 = 8,341.14 : x
  2. Step 2: Convert to fraction form
    21,490.47/32,227.50 = 8,341.14/x
  3. Step 3: Cross multiply
    21,490.47x = 32,227.50 × 8,341.14
  4. Step 4: Simplify right side
    21,490.47x = 268,814,089.35
  5. Step 5: Solve for x
    x = 268,814,089.35/21,490.47
  6. Step 6: Final answer
    x = 12,508.53

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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.