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Finding the Fourth Proportional to 12,326.14, 17,000.13 and 7,848.46

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Solution

The fourth proportional to 12,326.14, 17,000.13 and 7,848.46 is: 10,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.14 : 17,000.13 = 7,848.46 : x
  2. Step 2: Convert to fraction form
    12,326.14/17,000.13 = 7,848.46/x
  3. Step 3: Cross multiply
    12,326.14x = 17,000.13 × 7,848.46
  4. Step 4: Simplify right side
    12,326.14x = 133,424,840.30
  5. Step 5: Solve for x
    x = 133,424,840.30/12,326.14
  6. Step 6: Final answer
    x = 10,824.54

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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.