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Finding the Fourth Proportional to 12,771.59, 17,624.63 and 7,182.59

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Solution

The fourth proportional to 12,771.59, 17,624.63 and 7,182.59 is: 9,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.59 : 17,624.63 = 7,182.59 : x
  2. Step 2: Convert to fraction form
    12,771.59/17,624.63 = 7,182.59/x
  3. Step 3: Cross multiply
    12,771.59x = 17,624.63 × 7,182.59
  4. Step 4: Simplify right side
    12,771.59x = 126,590,455.28
  5. Step 5: Solve for x
    x = 126,590,455.28/12,771.59
  6. Step 6: Final answer
    x = 9,911.88

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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.