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Finding the Fourth Proportional to 16,267.64, 22,446.82 and 9,552.63

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Solution

The fourth proportional to 16,267.64, 22,446.82 and 9,552.63 is: 13,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.64 : 22,446.82 = 9,552.63 : x
  2. Step 2: Convert to fraction form
    16,267.64/22,446.82 = 9,552.63/x
  3. Step 3: Cross multiply
    16,267.64x = 22,446.82 × 9,552.63
  4. Step 4: Simplify right side
    16,267.64x = 214,426,262.25
  5. Step 5: Solve for x
    x = 214,426,262.25/16,267.64
  6. Step 6: Final answer
    x = 13,181.16

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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.