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Finding the Fourth Proportional to 26,056, 35,957.28 and 14,878

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Solution

The fourth proportional to 26,056, 35,957.28 and 14,878 is: 20,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056 : 35,957.28 = 14,878 : x
  2. Step 2: Convert to fraction form
    26,056/35,957.28 = 14,878/x
  3. Step 3: Cross multiply
    26,056x = 35,957.28 × 14,878
  4. Step 4: Simplify right side
    26,056x = 534,972,411.84
  5. Step 5: Solve for x
    x = 534,972,411.84/26,056
  6. Step 6: Final answer
    x = 20,531.64

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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.