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Finding the Fourth Proportional to 16,408.02, 22,643.10 and 8,956.02

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Solution

The fourth proportional to 16,408.02, 22,643.10 and 8,956.02 is: 12,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.02 : 22,643.10 = 8,956.02 : x
  2. Step 2: Convert to fraction form
    16,408.02/22,643.10 = 8,956.02/x
  3. Step 3: Cross multiply
    16,408.02x = 22,643.10 × 8,956.02
  4. Step 4: Simplify right side
    16,408.02x = 202,792,056.46
  5. Step 5: Solve for x
    x = 202,792,056.46/16,408.02
  6. Step 6: Final answer
    x = 12,359.33

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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.