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Finding the Fourth Proportional to 16,408.96, 22,643.52 and 8,955.52

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Solution

The fourth proportional to 16,408.96, 22,643.52 and 8,955.52 is: 12,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.96 : 22,643.52 = 8,955.52 : x
  2. Step 2: Convert to fraction form
    16,408.96/22,643.52 = 8,955.52/x
  3. Step 3: Cross multiply
    16,408.96x = 22,643.52 × 8,955.52
  4. Step 4: Simplify right side
    16,408.96x = 202,784,496.23
  5. Step 5: Solve for x
    x = 202,784,496.23/16,408.96
  6. Step 6: Final answer
    x = 12,358.16

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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.