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Finding the Fourth Proportional to 12,780.84, 17,639.31 and 7,475.67

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Solution

The fourth proportional to 12,780.84, 17,639.31 and 7,475.67 is: 10,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.84 : 17,639.31 = 7,475.67 : x
  2. Step 2: Convert to fraction form
    12,780.84/17,639.31 = 7,475.67/x
  3. Step 3: Cross multiply
    12,780.84x = 17,639.31 × 7,475.67
  4. Step 4: Simplify right side
    12,780.84x = 131,865,660.59
  5. Step 5: Solve for x
    x = 131,865,660.59/12,780.84
  6. Step 6: Final answer
    x = 10,317.45

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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.