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Finding the Fourth Proportional to 22,407.14, 30,922.59 and 12,336.32

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Solution

The fourth proportional to 22,407.14, 30,922.59 and 12,336.32 is: 17,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.14 : 30,922.59 = 12,336.32 : x
  2. Step 2: Convert to fraction form
    22,407.14/30,922.59 = 12,336.32/x
  3. Step 3: Cross multiply
    22,407.14x = 30,922.59 × 12,336.32
  4. Step 4: Simplify right side
    22,407.14x = 381,470,965.47
  5. Step 5: Solve for x
    x = 381,470,965.47/22,407.14
  6. Step 6: Final answer
    x = 17,024.53

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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.