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Finding the Fourth Proportional to 24,707.25, 34,096.01 and 13,529.25

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Solution

The fourth proportional to 24,707.25, 34,096.01 and 13,529.25 is: 18,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.25 : 34,096.01 = 13,529.25 : x
  2. Step 2: Convert to fraction form
    24,707.25/34,096.01 = 13,529.25/x
  3. Step 3: Cross multiply
    24,707.25x = 34,096.01 × 13,529.25
  4. Step 4: Simplify right side
    24,707.25x = 461,293,375.65
  5. Step 5: Solve for x
    x = 461,293,375.65/24,707.25
  6. Step 6: Final answer
    x = 18,670.37

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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.