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Finding the Fourth Proportional to 12,765.06, 17,613.15 and 7,458.84

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Solution

The fourth proportional to 12,765.06, 17,613.15 and 7,458.84 is: 10,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.06 : 17,613.15 = 7,458.84 : x
  2. Step 2: Convert to fraction form
    12,765.06/17,613.15 = 7,458.84/x
  3. Step 3: Cross multiply
    12,765.06x = 17,613.15 × 7,458.84
  4. Step 4: Simplify right side
    12,765.06x = 131,373,667.75
  5. Step 5: Solve for x
    x = 131,373,667.75/12,765.06
  6. Step 6: Final answer
    x = 10,291.66

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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.