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Finding the Fourth Proportional to 24,478.83, 36,720.88 and 7,832.93

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Solution

The fourth proportional to 24,478.83, 36,720.88 and 7,832.93 is: 11,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.83 : 36,720.88 = 7,832.93 : x
  2. Step 2: Convert to fraction form
    24,478.83/36,720.88 = 7,832.93/x
  3. Step 3: Cross multiply
    24,478.83x = 36,720.88 × 7,832.93
  4. Step 4: Simplify right side
    24,478.83x = 287,631,879.39
  5. Step 5: Solve for x
    x = 287,631,879.39/24,478.83
  6. Step 6: Final answer
    x = 11,750.23

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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.