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Finding the Fourth Proportional to 39,780.16, 59,682.08 and 16,408

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Solution

The fourth proportional to 39,780.16, 59,682.08 and 16,408 is: 24,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780.16 : 59,682.08 = 16,408 : x
  2. Step 2: Convert to fraction form
    39,780.16/59,682.08 = 16,408/x
  3. Step 3: Cross multiply
    39,780.16x = 59,682.08 × 16,408
  4. Step 4: Simplify right side
    39,780.16x = 979,263,568.64
  5. Step 5: Solve for x
    x = 979,263,568.64/39,780.16
  6. Step 6: Final answer
    x = 24,616.88

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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.