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Finding the Fourth Proportional to 12,648.84, 17,456.34 and 7,344.48

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Solution

The fourth proportional to 12,648.84, 17,456.34 and 7,344.48 is: 10,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.84 : 17,456.34 = 7,344.48 : x
  2. Step 2: Convert to fraction form
    12,648.84/17,456.34 = 7,344.48/x
  3. Step 3: Cross multiply
    12,648.84x = 17,456.34 × 7,344.48
  4. Step 4: Simplify right side
    12,648.84x = 128,207,740.00
  5. Step 5: Solve for x
    x = 128,207,740.00/12,648.84
  6. Step 6: Final answer
    x = 10,135.93

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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.