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Finding the Fourth Proportional to 22,909.78, 31,617.44 and 12,838.11

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Solution

The fourth proportional to 22,909.78, 31,617.44 and 12,838.11 is: 17,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.78 : 31,617.44 = 12,838.11 : x
  2. Step 2: Convert to fraction form
    22,909.78/31,617.44 = 12,838.11/x
  3. Step 3: Cross multiply
    22,909.78x = 31,617.44 × 12,838.11
  4. Step 4: Simplify right side
    22,909.78x = 405,908,172.64
  5. Step 5: Solve for x
    x = 405,908,172.64/22,909.78
  6. Step 6: Final answer
    x = 17,717.68

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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.