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Finding the Fourth Proportional to 24,438, 36,594.96 and 20,478.84

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Solution

The fourth proportional to 24,438, 36,594.96 and 20,478.84 is: 30,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438 : 36,594.96 = 20,478.84 : x
  2. Step 2: Convert to fraction form
    24,438/36,594.96 = 20,478.84/x
  3. Step 3: Cross multiply
    24,438x = 36,594.96 × 20,478.84
  4. Step 4: Simplify right side
    24,438x = 749,422,330.65
  5. Step 5: Solve for x
    x = 749,422,330.65/24,438
  6. Step 6: Final answer
    x = 30,666.27

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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.