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Finding the Fourth Proportional to 12,842.42, 17,721.15 and 7,176.02

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Solution

The fourth proportional to 12,842.42, 17,721.15 and 7,176.02 is: 9,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.42 : 17,721.15 = 7,176.02 : x
  2. Step 2: Convert to fraction form
    12,842.42/17,721.15 = 7,176.02/x
  3. Step 3: Cross multiply
    12,842.42x = 17,721.15 × 7,176.02
  4. Step 4: Simplify right side
    12,842.42x = 127,167,326.82
  5. Step 5: Solve for x
    x = 127,167,326.82/12,842.42
  6. Step 6: Final answer
    x = 9,902.13

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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.