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Finding the Fourth Proportional to 24,232.94, 36,354.54 and 7,591.76

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Solution

The fourth proportional to 24,232.94, 36,354.54 and 7,591.76 is: 11,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.94 : 36,354.54 = 7,591.76 : x
  2. Step 2: Convert to fraction form
    24,232.94/36,354.54 = 7,591.76/x
  3. Step 3: Cross multiply
    24,232.94x = 36,354.54 × 7,591.76
  4. Step 4: Simplify right side
    24,232.94x = 275,994,942.59
  5. Step 5: Solve for x
    x = 275,994,942.59/24,232.94
  6. Step 6: Final answer
    x = 11,389.25

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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.