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Finding the Fourth Proportional to 23,877.98, 35,767.74 and 13,987.27

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Solution

The fourth proportional to 23,877.98, 35,767.74 and 13,987.27 is: 20,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.98 : 35,767.74 = 13,987.27 : x
  2. Step 2: Convert to fraction form
    23,877.98/35,767.74 = 13,987.27/x
  3. Step 3: Cross multiply
    23,877.98x = 35,767.74 × 13,987.27
  4. Step 4: Simplify right side
    23,877.98x = 500,293,036.67
  5. Step 5: Solve for x
    x = 500,293,036.67/23,877.98
  6. Step 6: Final answer
    x = 20,952.07

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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.