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Finding the Fourth Proportional to 26,563, 36,656.94 and 14,787

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Solution

The fourth proportional to 26,563, 36,656.94 and 14,787 is: 20,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,563 : 36,656.94 = 14,787 : x
  2. Step 2: Convert to fraction form
    26,563/36,656.94 = 14,787/x
  3. Step 3: Cross multiply
    26,563x = 36,656.94 × 14,787
  4. Step 4: Simplify right side
    26,563x = 542,046,171.78
  5. Step 5: Solve for x
    x = 542,046,171.78/26,563
  6. Step 6: Final answer
    x = 20,406.06

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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.