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Finding the Fourth Proportional to 16,165.75, 22,322.76 and 11,924.17

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Solution

The fourth proportional to 16,165.75, 22,322.76 and 11,924.17 is: 16,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.75 : 22,322.76 = 11,924.17 : x
  2. Step 2: Convert to fraction form
    16,165.75/22,322.76 = 11,924.17/x
  3. Step 3: Cross multiply
    16,165.75x = 22,322.76 × 11,924.17
  4. Step 4: Simplify right side
    16,165.75x = 266,180,385.11
  5. Step 5: Solve for x
    x = 266,180,385.11/16,165.75
  6. Step 6: Final answer
    x = 16,465.70

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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.