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Finding the Fourth Proportional to 22,481.14, 31,023.93 and 12,409.58

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Solution

The fourth proportional to 22,481.14, 31,023.93 and 12,409.58 is: 17,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.14 : 31,023.93 = 12,409.58 : x
  2. Step 2: Convert to fraction form
    22,481.14/31,023.93 = 12,409.58/x
  3. Step 3: Cross multiply
    22,481.14x = 31,023.93 × 12,409.58
  4. Step 4: Simplify right side
    22,481.14x = 384,993,941.25
  5. Step 5: Solve for x
    x = 384,993,941.25/22,481.14
  6. Step 6: Final answer
    x = 17,125.20

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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.