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Finding the Fourth Proportional to 12,764.59, 17,613.79 and 7,098.42

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Solution

The fourth proportional to 12,764.59, 17,613.79 and 7,098.42 is: 9,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.59 : 17,613.79 = 7,098.42 : x
  2. Step 2: Convert to fraction form
    12,764.59/17,613.79 = 7,098.42/x
  3. Step 3: Cross multiply
    12,764.59x = 17,613.79 × 7,098.42
  4. Step 4: Simplify right side
    12,764.59x = 125,030,028.44
  5. Step 5: Solve for x
    x = 125,030,028.44/12,764.59
  6. Step 6: Final answer
    x = 9,795.07

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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.