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Finding the Fourth Proportional to 26,970.22, 37,217.37 and 14,868.28

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Solution

The fourth proportional to 26,970.22, 37,217.37 and 14,868.28 is: 20,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.22 : 37,217.37 = 14,868.28 : x
  2. Step 2: Convert to fraction form
    26,970.22/37,217.37 = 14,868.28/x
  3. Step 3: Cross multiply
    26,970.22x = 37,217.37 × 14,868.28
  4. Step 4: Simplify right side
    26,970.22x = 553,358,278.02
  5. Step 5: Solve for x
    x = 553,358,278.02/26,970.22
  6. Step 6: Final answer
    x = 20,517.38

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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.