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Finding the Fourth Proportional to 22,403.64, 30,923.82 and 12,974.52

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Solution

The fourth proportional to 22,403.64, 30,923.82 and 12,974.52 is: 17,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.64 : 30,923.82 = 12,974.52 : x
  2. Step 2: Convert to fraction form
    22,403.64/30,923.82 = 12,974.52/x
  3. Step 3: Cross multiply
    22,403.64x = 30,923.82 × 12,974.52
  4. Step 4: Simplify right side
    22,403.64x = 401,221,721.07
  5. Step 5: Solve for x
    x = 401,221,721.07/22,403.64
  6. Step 6: Final answer
    x = 17,908.77

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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.