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Finding the Fourth Proportional to 14,785.74, 22,179 and 4,924.66

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Solution

The fourth proportional to 14,785.74, 22,179 and 4,924.66 is: 7,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.74 : 22,179 = 4,924.66 : x
  2. Step 2: Convert to fraction form
    14,785.74/22,179 = 4,924.66/x
  3. Step 3: Cross multiply
    14,785.74x = 22,179 × 4,924.66
  4. Step 4: Simplify right side
    14,785.74x = 109,224,034.14
  5. Step 5: Solve for x
    x = 109,224,034.14/14,785.74
  6. Step 6: Final answer
    x = 7,387.12

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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.