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Finding the Fourth Proportional to 12,555.62, 17,326.90 and 7,842.64

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Solution

The fourth proportional to 12,555.62, 17,326.90 and 7,842.64 is: 10,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555.62 : 17,326.90 = 7,842.64 : x
  2. Step 2: Convert to fraction form
    12,555.62/17,326.90 = 7,842.64/x
  3. Step 3: Cross multiply
    12,555.62x = 17,326.90 × 7,842.64
  4. Step 4: Simplify right side
    12,555.62x = 135,888,639.02
  5. Step 5: Solve for x
    x = 135,888,639.02/12,555.62
  6. Step 6: Final answer
    x = 10,822.93

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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.