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Finding the Fourth Proportional to 18,822.42, 25,974 and 10,864.17

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Solution

The fourth proportional to 18,822.42, 25,974 and 10,864.17 is: 14,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.42 : 25,974 = 10,864.17 : x
  2. Step 2: Convert to fraction form
    18,822.42/25,974 = 10,864.17/x
  3. Step 3: Cross multiply
    18,822.42x = 25,974 × 10,864.17
  4. Step 4: Simplify right side
    18,822.42x = 282,185,951.58
  5. Step 5: Solve for x
    x = 282,185,951.58/18,822.42
  6. Step 6: Final answer
    x = 14,992.01

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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.