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Finding the Fourth Proportional to 16,408.36, 24,607.14 and 9,021.16

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Solution

The fourth proportional to 16,408.36, 24,607.14 and 9,021.16 is: 13,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.36 : 24,607.14 = 9,021.16 : x
  2. Step 2: Convert to fraction form
    16,408.36/24,607.14 = 9,021.16/x
  3. Step 3: Cross multiply
    16,408.36x = 24,607.14 × 9,021.16
  4. Step 4: Simplify right side
    16,408.36x = 221,984,947.08
  5. Step 5: Solve for x
    x = 221,984,947.08/16,408.36
  6. Step 6: Final answer
    x = 13,528.77

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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.