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Finding the Fourth Proportional to 24,604, 33,954.24 and 13,426.72

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Solution

The fourth proportional to 24,604, 33,954.24 and 13,426.72 is: 18,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604 : 33,954.24 = 13,426.72 : x
  2. Step 2: Convert to fraction form
    24,604/33,954.24 = 13,426.72/x
  3. Step 3: Cross multiply
    24,604x = 33,954.24 × 13,426.72
  4. Step 4: Simplify right side
    24,604x = 455,894,073.29
  5. Step 5: Solve for x
    x = 455,894,073.29/24,604
  6. Step 6: Final answer
    x = 18,529.27

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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.