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Finding the Fourth Proportional to 23,965.68, 33,073 and 13,758.40

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Solution

The fourth proportional to 23,965.68, 33,073 and 13,758.40 is: 18,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,965.68 : 33,073 = 13,758.40 : x
  2. Step 2: Convert to fraction form
    23,965.68/33,073 = 13,758.40/x
  3. Step 3: Cross multiply
    23,965.68x = 33,073 × 13,758.40
  4. Step 4: Simplify right side
    23,965.68x = 455,031,563.20
  5. Step 5: Solve for x
    x = 455,031,563.20/23,965.68
  6. Step 6: Final answer
    x = 18,986.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.