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Finding the Fourth Proportional to 21,494.17, 32,230.88 and 9,010.84

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Solution

The fourth proportional to 21,494.17, 32,230.88 and 9,010.84 is: 13,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.17 : 32,230.88 = 9,010.84 : x
  2. Step 2: Convert to fraction form
    21,494.17/32,230.88 = 9,010.84/x
  3. Step 3: Cross multiply
    21,494.17x = 32,230.88 × 9,010.84
  4. Step 4: Simplify right side
    21,494.17x = 290,427,177.11
  5. Step 5: Solve for x
    x = 290,427,177.11/21,494.17
  6. Step 6: Final answer
    x = 13,511.91

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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.