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Finding the Fourth Proportional to 24,597.92, 36,870.96 and 12,260

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Solution

The fourth proportional to 24,597.92, 36,870.96 and 12,260 is: 18,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.92 : 36,870.96 = 12,260 : x
  2. Step 2: Convert to fraction form
    24,597.92/36,870.96 = 12,260/x
  3. Step 3: Cross multiply
    24,597.92x = 36,870.96 × 12,260
  4. Step 4: Simplify right side
    24,597.92x = 452,037,969.60
  5. Step 5: Solve for x
    x = 452,037,969.60/24,597.92
  6. Step 6: Final answer
    x = 18,377.08

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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.