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Finding the Fourth Proportional to 16,185, 24,278.54 and 5,092.10

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Solution

The fourth proportional to 16,185, 24,278.54 and 5,092.10 is: 7,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185 : 24,278.54 = 5,092.10 : x
  2. Step 2: Convert to fraction form
    16,185/24,278.54 = 5,092.10/x
  3. Step 3: Cross multiply
    16,185x = 24,278.54 × 5,092.10
  4. Step 4: Simplify right side
    16,185x = 123,628,753.53
  5. Step 5: Solve for x
    x = 123,628,753.53/16,185
  6. Step 6: Final answer
    x = 7,638.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.