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Finding the Fourth Proportional to 16,408.09, 24,616.01 and 5,314.76

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Solution

The fourth proportional to 16,408.09, 24,616.01 and 5,314.76 is: 7,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.09 : 24,616.01 = 5,314.76 : x
  2. Step 2: Convert to fraction form
    16,408.09/24,616.01 = 5,314.76/x
  3. Step 3: Cross multiply
    16,408.09x = 24,616.01 × 5,314.76
  4. Step 4: Simplify right side
    16,408.09x = 130,828,185.31
  5. Step 5: Solve for x
    x = 130,828,185.31/16,408.09
  6. Step 6: Final answer
    x = 7,973.40

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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.