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Finding the Fourth Proportional to 12,774.85, 17,624.40 and 9,425.65

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Solution

The fourth proportional to 12,774.85, 17,624.40 and 9,425.65 is: 13,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.85 : 17,624.40 = 9,425.65 : x
  2. Step 2: Convert to fraction form
    12,774.85/17,624.40 = 9,425.65/x
  3. Step 3: Cross multiply
    12,774.85x = 17,624.40 × 9,425.65
  4. Step 4: Simplify right side
    12,774.85x = 166,121,425.86
  5. Step 5: Solve for x
    x = 166,121,425.86/12,774.85
  6. Step 6: Final answer
    x = 13,003.79

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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.