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Finding the Fourth Proportional to 21,873.26, 32,815.12 and 7,082.19

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Solution

The fourth proportional to 21,873.26, 32,815.12 and 7,082.19 is: 10,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.26 : 32,815.12 = 7,082.19 : x
  2. Step 2: Convert to fraction form
    21,873.26/32,815.12 = 7,082.19/x
  3. Step 3: Cross multiply
    21,873.26x = 32,815.12 × 7,082.19
  4. Step 4: Simplify right side
    21,873.26x = 232,403,011.21
  5. Step 5: Solve for x
    x = 232,403,011.21/21,873.26
  6. Step 6: Final answer
    x = 10,624.98

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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.