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Finding the Fourth Proportional to 24,548.80, 33,881.19 and 14,478.35

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Solution

The fourth proportional to 24,548.80, 33,881.19 and 14,478.35 is: 19,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.80 : 33,881.19 = 14,478.35 : x
  2. Step 2: Convert to fraction form
    24,548.80/33,881.19 = 14,478.35/x
  3. Step 3: Cross multiply
    24,548.80x = 33,881.19 × 14,478.35
  4. Step 4: Simplify right side
    24,548.80x = 490,543,727.24
  5. Step 5: Solve for x
    x = 490,543,727.24/24,548.80
  6. Step 6: Final answer
    x = 19,982.39

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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.