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Finding the Fourth Proportional to 13,398.46, 20,097.68 and 4,633.44

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Solution

The fourth proportional to 13,398.46, 20,097.68 and 4,633.44 is: 6,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.46 : 20,097.68 = 4,633.44 : x
  2. Step 2: Convert to fraction form
    13,398.46/20,097.68 = 4,633.44/x
  3. Step 3: Cross multiply
    13,398.46x = 20,097.68 × 4,633.44
  4. Step 4: Simplify right side
    13,398.46x = 93,121,394.42
  5. Step 5: Solve for x
    x = 93,121,394.42/13,398.46
  6. Step 6: Final answer
    x = 6,950.16

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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.