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Finding the Fourth Proportional to 12,780.54, 17,639.64 and 7,475.85

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Solution

The fourth proportional to 12,780.54, 17,639.64 and 7,475.85 is: 10,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.54 : 17,639.64 = 7,475.85 : x
  2. Step 2: Convert to fraction form
    12,780.54/17,639.64 = 7,475.85/x
  3. Step 3: Cross multiply
    12,780.54x = 17,639.64 × 7,475.85
  4. Step 4: Simplify right side
    12,780.54x = 131,871,302.69
  5. Step 5: Solve for x
    x = 131,871,302.69/12,780.54
  6. Step 6: Final answer
    x = 10,318.13

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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.