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Finding the Fourth Proportional to 21,402.84, 32,101.08 and 8,253.57

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Solution

The fourth proportional to 21,402.84, 32,101.08 and 8,253.57 is: 12,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.84 : 32,101.08 = 8,253.57 : x
  2. Step 2: Convert to fraction form
    21,402.84/32,101.08 = 8,253.57/x
  3. Step 3: Cross multiply
    21,402.84x = 32,101.08 × 8,253.57
  4. Step 4: Simplify right side
    21,402.84x = 264,948,510.86
  5. Step 5: Solve for x
    x = 264,948,510.86/21,402.84
  6. Step 6: Final answer
    x = 12,379.13

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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.