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Finding the Fourth Proportional to 14,796, 20,417.65 and 8,424.15

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Solution

The fourth proportional to 14,796, 20,417.65 and 8,424.15 is: 11,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796 : 20,417.65 = 8,424.15 : x
  2. Step 2: Convert to fraction form
    14,796/20,417.65 = 8,424.15/x
  3. Step 3: Cross multiply
    14,796x = 20,417.65 × 8,424.15
  4. Step 4: Simplify right side
    14,796x = 172,001,248.62
  5. Step 5: Solve for x
    x = 172,001,248.62/14,796
  6. Step 6: Final answer
    x = 11,624.85

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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.