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Finding the Fourth Proportional to 24,838.33, 34,268.52 and 14,082.04

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Solution

The fourth proportional to 24,838.33, 34,268.52 and 14,082.04 is: 19,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.33 : 34,268.52 = 14,082.04 : x
  2. Step 2: Convert to fraction form
    24,838.33/34,268.52 = 14,082.04/x
  3. Step 3: Cross multiply
    24,838.33x = 34,268.52 × 14,082.04
  4. Step 4: Simplify right side
    24,838.33x = 482,570,669.38
  5. Step 5: Solve for x
    x = 482,570,669.38/24,838.33
  6. Step 6: Final answer
    x = 19,428.47

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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.