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Finding the Fourth Proportional to 12,848.96, 17,731.50 and 7,469.48

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Solution

The fourth proportional to 12,848.96, 17,731.50 and 7,469.48 is: 10,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.96 : 17,731.50 = 7,469.48 : x
  2. Step 2: Convert to fraction form
    12,848.96/17,731.50 = 7,469.48/x
  3. Step 3: Cross multiply
    12,848.96x = 17,731.50 × 7,469.48
  4. Step 4: Simplify right side
    12,848.96x = 132,445,084.62
  5. Step 5: Solve for x
    x = 132,445,084.62/12,848.96
  6. Step 6: Final answer
    x = 10,307.84

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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.