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Finding the Fourth Proportional to 24,516.80, 36,742.80 and 21,730.40

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Solution

The fourth proportional to 24,516.80, 36,742.80 and 21,730.40 is: 32,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.80 : 36,742.80 = 21,730.40 : x
  2. Step 2: Convert to fraction form
    24,516.80/36,742.80 = 21,730.40/x
  3. Step 3: Cross multiply
    24,516.80x = 36,742.80 × 21,730.40
  4. Step 4: Simplify right side
    24,516.80x = 798,435,741.12
  5. Step 5: Solve for x
    x = 798,435,741.12/24,516.80
  6. Step 6: Final answer
    x = 32,566.88

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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.