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Finding the Fourth Proportional to 24,471, 33,767.12 and 14,397.23

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Solution

The fourth proportional to 24,471, 33,767.12 and 14,397.23 is: 19,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471 : 33,767.12 = 14,397.23 : x
  2. Step 2: Convert to fraction form
    24,471/33,767.12 = 14,397.23/x
  3. Step 3: Cross multiply
    24,471x = 33,767.12 × 14,397.23
  4. Step 4: Simplify right side
    24,471x = 486,152,752.26
  5. Step 5: Solve for x
    x = 486,152,752.26/24,471
  6. Step 6: Final answer
    x = 19,866.48

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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.