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Finding the Fourth Proportional to 21,877.60, 32,782.80 and 16,304.80

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Solution

The fourth proportional to 21,877.60, 32,782.80 and 16,304.80 is: 24,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.60 : 32,782.80 = 16,304.80 : x
  2. Step 2: Convert to fraction form
    21,877.60/32,782.80 = 16,304.80/x
  3. Step 3: Cross multiply
    21,877.60x = 32,782.80 × 16,304.80
  4. Step 4: Simplify right side
    21,877.60x = 534,516,997.44
  5. Step 5: Solve for x
    x = 534,516,997.44/21,877.60
  6. Step 6: Final answer
    x = 24,432.16

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1.5x scale

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.