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Finding the Fourth Proportional to 14,243.38, 19,656.13 and 7,870.33

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Solution

The fourth proportional to 14,243.38, 19,656.13 and 7,870.33 is: 10,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.38 : 19,656.13 = 7,870.33 : x
  2. Step 2: Convert to fraction form
    14,243.38/19,656.13 = 7,870.33/x
  3. Step 3: Cross multiply
    14,243.38x = 19,656.13 × 7,870.33
  4. Step 4: Simplify right side
    14,243.38x = 154,700,229.62
  5. Step 5: Solve for x
    x = 154,700,229.62/14,243.38
  6. Step 6: Final answer
    x = 10,861.20

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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.