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Finding the Fourth Proportional to 14,691.34, 20,290.59 and 9,967.42

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Solution

The fourth proportional to 14,691.34, 20,290.59 and 9,967.42 is: 13,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.34 : 20,290.59 = 9,967.42 : x
  2. Step 2: Convert to fraction form
    14,691.34/20,290.59 = 9,967.42/x
  3. Step 3: Cross multiply
    14,691.34x = 20,290.59 × 9,967.42
  4. Step 4: Simplify right side
    14,691.34x = 202,244,832.58
  5. Step 5: Solve for x
    x = 202,244,832.58/14,691.34
  6. Step 6: Final answer
    x = 13,766.26

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