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Finding the Fourth Proportional to 24,187.40, 36,281.10 and 13,819.40

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Solution

The fourth proportional to 24,187.40, 36,281.10 and 13,819.40 is: 20,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.40 : 36,281.10 = 13,819.40 : x
  2. Step 2: Convert to fraction form
    24,187.40/36,281.10 = 13,819.40/x
  3. Step 3: Cross multiply
    24,187.40x = 36,281.10 × 13,819.40
  4. Step 4: Simplify right side
    24,187.40x = 501,383,033.34
  5. Step 5: Solve for x
    x = 501,383,033.34/24,187.40
  6. Step 6: Final answer
    x = 20,729.10

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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.