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Finding the Fourth Proportional to 20,714.40, 31,082.40 and 9,028.80

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Solution

The fourth proportional to 20,714.40, 31,082.40 and 9,028.80 is: 13,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.40 : 31,082.40 = 9,028.80 : x
  2. Step 2: Convert to fraction form
    20,714.40/31,082.40 = 9,028.80/x
  3. Step 3: Cross multiply
    20,714.40x = 31,082.40 × 9,028.80
  4. Step 4: Simplify right side
    20,714.40x = 280,636,773.12
  5. Step 5: Solve for x
    x = 280,636,773.12/20,714.40
  6. Step 6: Final answer
    x = 13,547.91

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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.