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Finding the Fourth Proportional to 16,335, 22,542.84 and 10,046.16

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Solution

The fourth proportional to 16,335, 22,542.84 and 10,046.16 is: 13,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 22,542.84 = 10,046.16 : x
  2. Step 2: Convert to fraction form
    16,335/22,542.84 = 10,046.16/x
  3. Step 3: Cross multiply
    16,335x = 22,542.84 × 10,046.16
  4. Step 4: Simplify right side
    16,335x = 226,468,977.49
  5. Step 5: Solve for x
    x = 226,468,977.49/16,335
  6. Step 6: Final answer
    x = 13,864.03

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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.