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Finding the Fourth Proportional to 14,646.74, 20,212.90 and 8,272.82

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Solution

The fourth proportional to 14,646.74, 20,212.90 and 8,272.82 is: 11,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.74 : 20,212.90 = 8,272.82 : x
  2. Step 2: Convert to fraction form
    14,646.74/20,212.90 = 8,272.82/x
  3. Step 3: Cross multiply
    14,646.74x = 20,212.90 × 8,272.82
  4. Step 4: Simplify right side
    14,646.74x = 167,217,683.38
  5. Step 5: Solve for x
    x = 167,217,683.38/14,646.74
  6. Step 6: Final answer
    x = 11,416.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.