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Finding the Fourth Proportional to 22,496.34, 31,044.60 and 12,424.80

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Solution

The fourth proportional to 22,496.34, 31,044.60 and 12,424.80 is: 17,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.34 : 31,044.60 = 12,424.80 : x
  2. Step 2: Convert to fraction form
    22,496.34/31,044.60 = 12,424.80/x
  3. Step 3: Cross multiply
    22,496.34x = 31,044.60 × 12,424.80
  4. Step 4: Simplify right side
    22,496.34x = 385,722,946.08
  5. Step 5: Solve for x
    x = 385,722,946.08/22,496.34
  6. Step 6: Final answer
    x = 17,146.03

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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.