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Finding the Fourth Proportional to 12,842.69, 17,723.01 and 7,177.64

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Solution

The fourth proportional to 12,842.69, 17,723.01 and 7,177.64 is: 9,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.69 : 17,723.01 = 7,177.64 : x
  2. Step 2: Convert to fraction form
    12,842.69/17,723.01 = 7,177.64/x
  3. Step 3: Cross multiply
    12,842.69x = 17,723.01 × 7,177.64
  4. Step 4: Simplify right side
    12,842.69x = 127,209,385.50
  5. Step 5: Solve for x
    x = 127,209,385.50/12,842.69
  6. Step 6: Final answer
    x = 9,905.20

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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.