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Finding the Fourth Proportional to 12,398.86, 17,102.10 and 7,685.47

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Solution

The fourth proportional to 12,398.86, 17,102.10 and 7,685.47 is: 10,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.86 : 17,102.10 = 7,685.47 : x
  2. Step 2: Convert to fraction form
    12,398.86/17,102.10 = 7,685.47/x
  3. Step 3: Cross multiply
    12,398.86x = 17,102.10 × 7,685.47
  4. Step 4: Simplify right side
    12,398.86x = 131,437,676.49
  5. Step 5: Solve for x
    x = 131,437,676.49/12,398.86
  6. Step 6: Final answer
    x = 10,600.79

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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.