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Finding the Fourth Proportional to 16,175.70, 22,323.06 and 9,102.78

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Solution

The fourth proportional to 16,175.70, 22,323.06 and 9,102.78 is: 12,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.70 : 22,323.06 = 9,102.78 : x
  2. Step 2: Convert to fraction form
    16,175.70/22,323.06 = 9,102.78/x
  3. Step 3: Cross multiply
    16,175.70x = 22,323.06 × 9,102.78
  4. Step 4: Simplify right side
    16,175.70x = 203,201,904.11
  5. Step 5: Solve for x
    x = 203,201,904.11/16,175.70
  6. Step 6: Final answer
    x = 12,562.17

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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.