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Finding the Fourth Proportional to 24,448, 33,740.40 and 14,371.38

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Solution

The fourth proportional to 24,448, 33,740.40 and 14,371.38 is: 19,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448 : 33,740.40 = 14,371.38 : x
  2. Step 2: Convert to fraction form
    24,448/33,740.40 = 14,371.38/x
  3. Step 3: Cross multiply
    24,448x = 33,740.40 × 14,371.38
  4. Step 4: Simplify right side
    24,448x = 484,896,109.75
  5. Step 5: Solve for x
    x = 484,896,109.75/24,448
  6. Step 6: Final answer
    x = 19,833.77

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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.