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Finding the Fourth Proportional to 22,532.32, 31,093.86 and 12,460.60

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Solution

The fourth proportional to 22,532.32, 31,093.86 and 12,460.60 is: 17,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.32 : 31,093.86 = 12,460.60 : x
  2. Step 2: Convert to fraction form
    22,532.32/31,093.86 = 12,460.60/x
  3. Step 3: Cross multiply
    22,532.32x = 31,093.86 × 12,460.60
  4. Step 4: Simplify right side
    22,532.32x = 387,448,151.92
  5. Step 5: Solve for x
    x = 387,448,151.92/22,532.32
  6. Step 6: Final answer
    x = 17,195.22

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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.