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Finding the Fourth Proportional to 24,407.80, 36,611.70 and 16,097.20

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Solution

The fourth proportional to 24,407.80, 36,611.70 and 16,097.20 is: 24,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.80 : 36,611.70 = 16,097.20 : x
  2. Step 2: Convert to fraction form
    24,407.80/36,611.70 = 16,097.20/x
  3. Step 3: Cross multiply
    24,407.80x = 36,611.70 × 16,097.20
  4. Step 4: Simplify right side
    24,407.80x = 589,345,857.24
  5. Step 5: Solve for x
    x = 589,345,857.24/24,407.80
  6. Step 6: Final answer
    x = 24,145.80

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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.