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Finding the Fourth Proportional to 24,533.72, 36,795.42 and 7,895.24

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Solution

The fourth proportional to 24,533.72, 36,795.42 and 7,895.24 is: 11,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.72 : 36,795.42 = 7,895.24 : x
  2. Step 2: Convert to fraction form
    24,533.72/36,795.42 = 7,895.24/x
  3. Step 3: Cross multiply
    24,533.72x = 36,795.42 × 7,895.24
  4. Step 4: Simplify right side
    24,533.72x = 290,508,671.80
  5. Step 5: Solve for x
    x = 290,508,671.80/24,533.72
  6. Step 6: Final answer
    x = 11,841.20

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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.