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Finding the Fourth Proportional to 21,856.86, 32,660.85 and 16,411.72

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Solution

The fourth proportional to 21,856.86, 32,660.85 and 16,411.72 is: 24,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.86 : 32,660.85 = 16,411.72 : x
  2. Step 2: Convert to fraction form
    21,856.86/32,660.85 = 16,411.72/x
  3. Step 3: Cross multiply
    21,856.86x = 32,660.85 × 16,411.72
  4. Step 4: Simplify right side
    21,856.86x = 536,020,725.16
  5. Step 5: Solve for x
    x = 536,020,725.16/21,856.86
  6. Step 6: Final answer
    x = 24,524.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.