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Finding the Fourth Proportional to 14,691.91, 22,039.13 and 4,698.09

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Solution

The fourth proportional to 14,691.91, 22,039.13 and 4,698.09 is: 7,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.91 : 22,039.13 = 4,698.09 : x
  2. Step 2: Convert to fraction form
    14,691.91/22,039.13 = 4,698.09/x
  3. Step 3: Cross multiply
    14,691.91x = 22,039.13 × 4,698.09
  4. Step 4: Simplify right side
    14,691.91x = 103,541,682.58
  5. Step 5: Solve for x
    x = 103,541,682.58/14,691.91
  6. Step 6: Final answer
    x = 7,047.53

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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.