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Finding the Fourth Proportional to 22,603.21, 31,192.83 and 12,395.07

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Solution

The fourth proportional to 22,603.21, 31,192.83 and 12,395.07 is: 17,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.21 : 31,192.83 = 12,395.07 : x
  2. Step 2: Convert to fraction form
    22,603.21/31,192.83 = 12,395.07/x
  3. Step 3: Cross multiply
    22,603.21x = 31,192.83 × 12,395.07
  4. Step 4: Simplify right side
    22,603.21x = 386,637,311.35
  5. Step 5: Solve for x
    x = 386,637,311.35/22,603.21
  6. Step 6: Final answer
    x = 17,105.42

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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.