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Finding the Fourth Proportional to 12,329.84, 17,001.80 and 7,847.86

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Solution

The fourth proportional to 12,329.84, 17,001.80 and 7,847.86 is: 10,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.84 : 17,001.80 = 7,847.86 : x
  2. Step 2: Convert to fraction form
    12,329.84/17,001.80 = 7,847.86/x
  3. Step 3: Cross multiply
    12,329.84x = 17,001.80 × 7,847.86
  4. Step 4: Simplify right side
    12,329.84x = 133,427,746.15
  5. Step 5: Solve for x
    x = 133,427,746.15/12,329.84
  6. Step 6: Final answer
    x = 10,821.53

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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.