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Finding the Fourth Proportional to 24,123.80, 36,183.97 and 7,483.40

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Solution

The fourth proportional to 24,123.80, 36,183.97 and 7,483.40 is: 11,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.80 : 36,183.97 = 7,483.40 : x
  2. Step 2: Convert to fraction form
    24,123.80/36,183.97 = 7,483.40/x
  3. Step 3: Cross multiply
    24,123.80x = 36,183.97 × 7,483.40
  4. Step 4: Simplify right side
    24,123.80x = 270,779,094.01
  5. Step 5: Solve for x
    x = 270,779,094.01/24,123.80
  6. Step 6: Final answer
    x = 11,224.56

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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.