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Finding the Fourth Proportional to 21,877.92, 32,816.88 and 12,079.50

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Solution

The fourth proportional to 21,877.92, 32,816.88 and 12,079.50 is: 18,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.92 : 32,816.88 = 12,079.50 : x
  2. Step 2: Convert to fraction form
    21,877.92/32,816.88 = 12,079.50/x
  3. Step 3: Cross multiply
    21,877.92x = 32,816.88 × 12,079.50
  4. Step 4: Simplify right side
    21,877.92x = 396,411,501.96
  5. Step 5: Solve for x
    x = 396,411,501.96/21,877.92
  6. Step 6: Final answer
    x = 18,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.