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Finding the Fourth Proportional to 22,478.98, 31,021.10 and 12,407.44

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Solution

The fourth proportional to 22,478.98, 31,021.10 and 12,407.44 is: 17,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.98 : 31,021.10 = 12,407.44 : x
  2. Step 2: Convert to fraction form
    22,478.98/31,021.10 = 12,407.44/x
  3. Step 3: Cross multiply
    22,478.98x = 31,021.10 × 12,407.44
  4. Step 4: Simplify right side
    22,478.98x = 384,892,219.84
  5. Step 5: Solve for x
    x = 384,892,219.84/22,478.98
  6. Step 6: Final answer
    x = 17,122.32

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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.