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Finding the Fourth Proportional to 24,019.68, 36,023.52 and 12,323.52

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Solution

The fourth proportional to 24,019.68, 36,023.52 and 12,323.52 is: 18,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.68 : 36,023.52 = 12,323.52 : x
  2. Step 2: Convert to fraction form
    24,019.68/36,023.52 = 12,323.52/x
  3. Step 3: Cross multiply
    24,019.68x = 36,023.52 × 12,323.52
  4. Step 4: Simplify right side
    24,019.68x = 443,936,569.19
  5. Step 5: Solve for x
    x = 443,936,569.19/24,019.68
  6. Step 6: Final answer
    x = 18,482.20

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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.