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Finding the Fourth Proportional to 23,657.98, 35,443.90 and 13,767.26

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Solution

The fourth proportional to 23,657.98, 35,443.90 and 13,767.26 is: 20,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.98 : 35,443.90 = 13,767.26 : x
  2. Step 2: Convert to fraction form
    23,657.98/35,443.90 = 13,767.26/x
  3. Step 3: Cross multiply
    23,657.98x = 35,443.90 × 13,767.26
  4. Step 4: Simplify right side
    23,657.98x = 487,965,386.71
  5. Step 5: Solve for x
    x = 487,965,386.71/23,657.98
  6. Step 6: Final answer
    x = 20,625.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.