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Finding the Fourth Proportional to 16,374.16, 22,596.20 and 8,922

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Solution

The fourth proportional to 16,374.16, 22,596.20 and 8,922 is: 12,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374.16 : 22,596.20 = 8,922 : x
  2. Step 2: Convert to fraction form
    16,374.16/22,596.20 = 8,922/x
  3. Step 3: Cross multiply
    16,374.16x = 22,596.20 × 8,922
  4. Step 4: Simplify right side
    16,374.16x = 201,603,296.40
  5. Step 5: Solve for x
    x = 201,603,296.40/16,374.16
  6. Step 6: Final answer
    x = 12,312.28

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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.