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Finding the Fourth Proportional to 24,763.68, 37,155 and 14,910

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Solution

The fourth proportional to 24,763.68, 37,155 and 14,910 is: 22,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.68 : 37,155 = 14,910 : x
  2. Step 2: Convert to fraction form
    24,763.68/37,155 = 14,910/x
  3. Step 3: Cross multiply
    24,763.68x = 37,155 × 14,910
  4. Step 4: Simplify right side
    24,763.68x = 553,981,050
  5. Step 5: Solve for x
    x = 553,981,050/24,763.68
  6. Step 6: Final answer
    x = 22,370.71

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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.