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Finding the Fourth Proportional to 24,865.98, 34,313.98 and 13,535.49

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Solution

The fourth proportional to 24,865.98, 34,313.98 and 13,535.49 is: 18,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.98 : 34,313.98 = 13,535.49 : x
  2. Step 2: Convert to fraction form
    24,865.98/34,313.98 = 13,535.49/x
  3. Step 3: Cross multiply
    24,865.98x = 34,313.98 × 13,535.49
  4. Step 4: Simplify right side
    24,865.98x = 464,456,533.15
  5. Step 5: Solve for x
    x = 464,456,533.15/24,865.98
  6. Step 6: Final answer
    x = 18,678.39

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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.