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Finding the Fourth Proportional to 20,764.60, 31,146.90 and 16,655.80

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Solution

The fourth proportional to 20,764.60, 31,146.90 and 16,655.80 is: 24,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.60 : 31,146.90 = 16,655.80 : x
  2. Step 2: Convert to fraction form
    20,764.60/31,146.90 = 16,655.80/x
  3. Step 3: Cross multiply
    20,764.60x = 31,146.90 × 16,655.80
  4. Step 4: Simplify right side
    20,764.60x = 518,776,537.02
  5. Step 5: Solve for x
    x = 518,776,537.02/20,764.60
  6. Step 6: Final answer
    x = 24,983.70

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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.