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Finding the Fourth Proportional to 21,882.30, 32,823.45 and 14,009.10

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Solution

The fourth proportional to 21,882.30, 32,823.45 and 14,009.10 is: 21,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.30 : 32,823.45 = 14,009.10 : x
  2. Step 2: Convert to fraction form
    21,882.30/32,823.45 = 14,009.10/x
  3. Step 3: Cross multiply
    21,882.30x = 32,823.45 × 14,009.10
  4. Step 4: Simplify right side
    21,882.30x = 459,826,993.40
  5. Step 5: Solve for x
    x = 459,826,993.40/21,882.30
  6. Step 6: Final answer
    x = 21,013.65

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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.