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Finding the Fourth Proportional to 12,329.30, 17,021.64 and 7,856.84

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Solution

The fourth proportional to 12,329.30, 17,021.64 and 7,856.84 is: 10,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.30 : 17,021.64 = 7,856.84 : x
  2. Step 2: Convert to fraction form
    12,329.30/17,021.64 = 7,856.84/x
  3. Step 3: Cross multiply
    12,329.30x = 17,021.64 × 7,856.84
  4. Step 4: Simplify right side
    12,329.30x = 133,736,302.02
  5. Step 5: Solve for x
    x = 133,736,302.02/12,329.30
  6. Step 6: Final answer
    x = 10,847.03

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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.