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Finding the Fourth Proportional to 24,574, 33,913.20 and 13,396

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Solution

The fourth proportional to 24,574, 33,913.20 and 13,396 is: 18,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574 : 33,913.20 = 13,396 : x
  2. Step 2: Convert to fraction form
    24,574/33,913.20 = 13,396/x
  3. Step 3: Cross multiply
    24,574x = 33,913.20 × 13,396
  4. Step 4: Simplify right side
    24,574x = 454,301,227.20
  5. Step 5: Solve for x
    x = 454,301,227.20/24,574
  6. Step 6: Final answer
    x = 18,487.07

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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.