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Finding the Fourth Proportional to 15,471.32, 23,202.63 and 5,981.45

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Solution

The fourth proportional to 15,471.32, 23,202.63 and 5,981.45 is: 8,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.32 : 23,202.63 = 5,981.45 : x
  2. Step 2: Convert to fraction form
    15,471.32/23,202.63 = 5,981.45/x
  3. Step 3: Cross multiply
    15,471.32x = 23,202.63 × 5,981.45
  4. Step 4: Simplify right side
    15,471.32x = 138,785,255.20
  5. Step 5: Solve for x
    x = 138,785,255.20/15,471.32
  6. Step 6: Final answer
    x = 8,970.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.