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Finding the Fourth Proportional to 26,712.32, 36,878 and 17,772

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Solution

The fourth proportional to 26,712.32, 36,878 and 17,772 is: 24,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,712.32 : 36,878 = 17,772 : x
  2. Step 2: Convert to fraction form
    26,712.32/36,878 = 17,772/x
  3. Step 3: Cross multiply
    26,712.32x = 36,878 × 17,772
  4. Step 4: Simplify right side
    26,712.32x = 655,395,816
  5. Step 5: Solve for x
    x = 655,395,816/26,712.32
  6. Step 6: Final answer
    x = 24,535.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.