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Finding the Fourth Proportional to 26,574, 36,673.78 and 14,637.33

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Solution

The fourth proportional to 26,574, 36,673.78 and 14,637.33 is: 20,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574 : 36,673.78 = 14,637.33 : x
  2. Step 2: Convert to fraction form
    26,574/36,673.78 = 14,637.33/x
  3. Step 3: Cross multiply
    26,574x = 36,673.78 × 14,637.33
  4. Step 4: Simplify right side
    26,574x = 536,806,220.21
  5. Step 5: Solve for x
    x = 536,806,220.21/26,574
  6. Step 6: Final answer
    x = 20,200.43

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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.