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Finding the Fourth Proportional to 24,902.34, 34,365.06 and 13,724.34

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Solution

The fourth proportional to 24,902.34, 34,365.06 and 13,724.34 is: 18,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.34 : 34,365.06 = 13,724.34 : x
  2. Step 2: Convert to fraction form
    24,902.34/34,365.06 = 13,724.34/x
  3. Step 3: Cross multiply
    24,902.34x = 34,365.06 × 13,724.34
  4. Step 4: Simplify right side
    24,902.34x = 471,637,767.56
  5. Step 5: Solve for x
    x = 471,637,767.56/24,902.34
  6. Step 6: Final answer
    x = 18,939.50

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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.