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Finding the Fourth Proportional to 21,378.60, 32,024.13 and 12,586.86

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Solution

The fourth proportional to 21,378.60, 32,024.13 and 12,586.86 is: 18,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.60 : 32,024.13 = 12,586.86 : x
  2. Step 2: Convert to fraction form
    21,378.60/32,024.13 = 12,586.86/x
  3. Step 3: Cross multiply
    21,378.60x = 32,024.13 × 12,586.86
  4. Step 4: Simplify right side
    21,378.60x = 403,083,240.93
  5. Step 5: Solve for x
    x = 403,083,240.93/21,378.60
  6. Step 6: Final answer
    x = 18,854.52

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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.