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Finding the Fourth Proportional to 22,823.36, 34,244.80 and 10,971.44

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Solution

The fourth proportional to 22,823.36, 34,244.80 and 10,971.44 is: 16,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.36 : 34,244.80 = 10,971.44 : x
  2. Step 2: Convert to fraction form
    22,823.36/34,244.80 = 10,971.44/x
  3. Step 3: Cross multiply
    22,823.36x = 34,244.80 × 10,971.44
  4. Step 4: Simplify right side
    22,823.36x = 375,714,768.51
  5. Step 5: Solve for x
    x = 375,714,768.51/22,823.36
  6. Step 6: Final answer
    x = 16,461.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.