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Finding the Fourth Proportional to 24,219.60, 33,426.03 and 13,609

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Solution

The fourth proportional to 24,219.60, 33,426.03 and 13,609 is: 18,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.60 : 33,426.03 = 13,609 : x
  2. Step 2: Convert to fraction form
    24,219.60/33,426.03 = 13,609/x
  3. Step 3: Cross multiply
    24,219.60x = 33,426.03 × 13,609
  4. Step 4: Simplify right side
    24,219.60x = 454,894,842.27
  5. Step 5: Solve for x
    x = 454,894,842.27/24,219.60
  6. Step 6: Final answer
    x = 18,782.10

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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.