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Finding the Fourth Proportional to 24,357.54, 36,539.46 and 8,561.46

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Solution

The fourth proportional to 24,357.54, 36,539.46 and 8,561.46 is: 12,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.54 : 36,539.46 = 8,561.46 : x
  2. Step 2: Convert to fraction form
    24,357.54/36,539.46 = 8,561.46/x
  3. Step 3: Cross multiply
    24,357.54x = 36,539.46 × 8,561.46
  4. Step 4: Simplify right side
    24,357.54x = 312,831,125.21
  5. Step 5: Solve for x
    x = 312,831,125.21/24,357.54
  6. Step 6: Final answer
    x = 12,843.30

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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.