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Finding the Fourth Proportional to 30,896.32, 42,631.52 and 18,324.16

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Solution

The fourth proportional to 30,896.32, 42,631.52 and 18,324.16 is: 25,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.32 : 42,631.52 = 18,324.16 : x
  2. Step 2: Convert to fraction form
    30,896.32/42,631.52 = 18,324.16/x
  3. Step 3: Cross multiply
    30,896.32x = 42,631.52 × 18,324.16
  4. Step 4: Simplify right side
    30,896.32x = 781,186,793.52
  5. Step 5: Solve for x
    x = 781,186,793.52/30,896.32
  6. Step 6: Final answer
    x = 25,284.14

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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.