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Finding the Fourth Proportional to 24,719.95, 34,115.97 and 14,111.17

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Solution

The fourth proportional to 24,719.95, 34,115.97 and 14,111.17 is: 19,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.95 : 34,115.97 = 14,111.17 : x
  2. Step 2: Convert to fraction form
    24,719.95/34,115.97 = 14,111.17/x
  3. Step 3: Cross multiply
    24,719.95x = 34,115.97 × 14,111.17
  4. Step 4: Simplify right side
    24,719.95x = 481,416,252.38
  5. Step 5: Solve for x
    x = 481,416,252.38/24,719.95
  6. Step 6: Final answer
    x = 19,474.81

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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.