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Finding the Fourth Proportional to 16,151.32, 22,270.80 and 10,478.56

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Solution

The fourth proportional to 16,151.32, 22,270.80 and 10,478.56 is: 14,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.32 : 22,270.80 = 10,478.56 : x
  2. Step 2: Convert to fraction form
    16,151.32/22,270.80 = 10,478.56/x
  3. Step 3: Cross multiply
    16,151.32x = 22,270.80 × 10,478.56
  4. Step 4: Simplify right side
    16,151.32x = 233,365,914.05
  5. Step 5: Solve for x
    x = 233,365,914.05/16,151.32
  6. Step 6: Final answer
    x = 14,448.72

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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.