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Finding the Fourth Proportional to 22,909.62, 31,615.01 and 12,838.02

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Solution

The fourth proportional to 22,909.62, 31,615.01 and 12,838.02 is: 17,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.62 : 31,615.01 = 12,838.02 : x
  2. Step 2: Convert to fraction form
    22,909.62/31,615.01 = 12,838.02/x
  3. Step 3: Cross multiply
    22,909.62x = 31,615.01 × 12,838.02
  4. Step 4: Simplify right side
    22,909.62x = 405,874,066.49
  5. Step 5: Solve for x
    x = 405,874,066.49/22,909.62
  6. Step 6: Final answer
    x = 17,716.32

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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.