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Finding the Fourth Proportional to 24,574, 33,912.36 and 13,396.24

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Solution

The fourth proportional to 24,574, 33,912.36 and 13,396.24 is: 18,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574 : 33,912.36 = 13,396.24 : x
  2. Step 2: Convert to fraction form
    24,574/33,912.36 = 13,396.24/x
  3. Step 3: Cross multiply
    24,574x = 33,912.36 × 13,396.24
  4. Step 4: Simplify right side
    24,574x = 454,298,113.53
  5. Step 5: Solve for x
    x = 454,298,113.53/24,574
  6. Step 6: Final answer
    x = 18,486.94

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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.