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Finding the Fourth Proportional to 23,952.21, 35,928.31 and 9,165.66

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Solution

The fourth proportional to 23,952.21, 35,928.31 and 9,165.66 is: 13,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.21 : 35,928.31 = 9,165.66 : x
  2. Step 2: Convert to fraction form
    23,952.21/35,928.31 = 9,165.66/x
  3. Step 3: Cross multiply
    23,952.21x = 35,928.31 × 9,165.66
  4. Step 4: Simplify right side
    23,952.21x = 329,306,673.83
  5. Step 5: Solve for x
    x = 329,306,673.83/23,952.21
  6. Step 6: Final answer
    x = 13,748.49

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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.