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Finding the Fourth Proportional to 16,176, 22,322.34 and 9,102

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Solution

The fourth proportional to 16,176, 22,322.34 and 9,102 is: 12,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 22,322.34 = 9,102 : x
  2. Step 2: Convert to fraction form
    16,176/22,322.34 = 9,102/x
  3. Step 3: Cross multiply
    16,176x = 22,322.34 × 9,102
  4. Step 4: Simplify right side
    16,176x = 203,177,938.68
  5. Step 5: Solve for x
    x = 203,177,938.68/16,176
  6. Step 6: Final answer
    x = 12,560.46

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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.