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Finding the Fourth Proportional to 22,232.76, 30,682.19 and 12,804.36

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Solution

The fourth proportional to 22,232.76, 30,682.19 and 12,804.36 is: 17,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.76 : 30,682.19 = 12,804.36 : x
  2. Step 2: Convert to fraction form
    22,232.76/30,682.19 = 12,804.36/x
  3. Step 3: Cross multiply
    22,232.76x = 30,682.19 × 12,804.36
  4. Step 4: Simplify right side
    22,232.76x = 392,865,742.33
  5. Step 5: Solve for x
    x = 392,865,742.33/22,232.76
  6. Step 6: Final answer
    x = 17,670.58

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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.