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Finding the Fourth Proportional to 16,870.40, 23,301.82 and 12,640.38

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Solution

The fourth proportional to 16,870.40, 23,301.82 and 12,640.38 is: 17,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.40 : 23,301.82 = 12,640.38 : x
  2. Step 2: Convert to fraction form
    16,870.40/23,301.82 = 12,640.38/x
  3. Step 3: Cross multiply
    16,870.40x = 23,301.82 × 12,640.38
  4. Step 4: Simplify right side
    16,870.40x = 294,543,859.49
  5. Step 5: Solve for x
    x = 294,543,859.49/16,870.40
  6. Step 6: Final answer
    x = 17,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.