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Finding the Fourth Proportional to 20,742.60, 31,113.90 and 10,884.90

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Solution

The fourth proportional to 20,742.60, 31,113.90 and 10,884.90 is: 16,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.60 : 31,113.90 = 10,884.90 : x
  2. Step 2: Convert to fraction form
    20,742.60/31,113.90 = 10,884.90/x
  3. Step 3: Cross multiply
    20,742.60x = 31,113.90 × 10,884.90
  4. Step 4: Simplify right side
    20,742.60x = 338,671,690.11
  5. Step 5: Solve for x
    x = 338,671,690.11/20,742.60
  6. Step 6: Final answer
    x = 16,327.35

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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.