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Finding the Fourth Proportional to 21,402.60, 32,101.47 and 8,253.87

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Solution

The fourth proportional to 21,402.60, 32,101.47 and 8,253.87 is: 12,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.60 : 32,101.47 = 8,253.87 : x
  2. Step 2: Convert to fraction form
    21,402.60/32,101.47 = 8,253.87/x
  3. Step 3: Cross multiply
    21,402.60x = 32,101.47 × 8,253.87
  4. Step 4: Simplify right side
    21,402.60x = 264,961,360.19
  5. Step 5: Solve for x
    x = 264,961,360.19/21,402.60
  6. Step 6: Final answer
    x = 12,379.87

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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.