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Finding the Fourth Proportional to 14,340, 19,791.36 and 8,754.24

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Solution

The fourth proportional to 14,340, 19,791.36 and 8,754.24 is: 12,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 19,791.36 = 8,754.24 : x
  2. Step 2: Convert to fraction form
    14,340/19,791.36 = 8,754.24/x
  3. Step 3: Cross multiply
    14,340x = 19,791.36 × 8,754.24
  4. Step 4: Simplify right side
    14,340x = 173,258,315.37
  5. Step 5: Solve for x
    x = 173,258,315.37/14,340
  6. Step 6: Final answer
    x = 12,082.17

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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.