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Finding the Fourth Proportional to 14,240.87, 19,652.48 and 7,867.38

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Solution

The fourth proportional to 14,240.87, 19,652.48 and 7,867.38 is: 10,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.87 : 19,652.48 = 7,867.38 : x
  2. Step 2: Convert to fraction form
    14,240.87/19,652.48 = 7,867.38/x
  3. Step 3: Cross multiply
    14,240.87x = 19,652.48 × 7,867.38
  4. Step 4: Simplify right side
    14,240.87x = 154,613,528.10
  5. Step 5: Solve for x
    x = 154,613,528.10/14,240.87
  6. Step 6: Final answer
    x = 10,857.03

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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.