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Finding the Fourth Proportional to 24,732.99, 34,133.21 and 13,974.14

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Solution

The fourth proportional to 24,732.99, 34,133.21 and 13,974.14 is: 19,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.99 : 34,133.21 = 13,974.14 : x
  2. Step 2: Convert to fraction form
    24,732.99/34,133.21 = 13,974.14/x
  3. Step 3: Cross multiply
    24,732.99x = 34,133.21 × 13,974.14
  4. Step 4: Simplify right side
    24,732.99x = 476,982,255.19
  5. Step 5: Solve for x
    x = 476,982,255.19/24,732.99
  6. Step 6: Final answer
    x = 19,285.26

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1.5x scale

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.