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Finding the Fourth Proportional to 12,683.70, 17,507.57 and 8,907.78

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Solution

The fourth proportional to 12,683.70, 17,507.57 and 8,907.78 is: 12,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 17,507.57 = 8,907.78 : x
  2. Step 2: Convert to fraction form
    12,683.70/17,507.57 = 8,907.78/x
  3. Step 3: Cross multiply
    12,683.70x = 17,507.57 × 8,907.78
  4. Step 4: Simplify right side
    12,683.70x = 155,953,581.89
  5. Step 5: Solve for x
    x = 155,953,581.89/12,683.70
  6. Step 6: Final answer
    x = 12,295.59

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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.