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Finding the Fourth Proportional to 16,071.36, 22,174.20 and 10,407.84

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Solution

The fourth proportional to 16,071.36, 22,174.20 and 10,407.84 is: 14,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.36 : 22,174.20 = 10,407.84 : x
  2. Step 2: Convert to fraction form
    16,071.36/22,174.20 = 10,407.84/x
  3. Step 3: Cross multiply
    16,071.36x = 22,174.20 × 10,407.84
  4. Step 4: Simplify right side
    16,071.36x = 230,785,525.73
  5. Step 5: Solve for x
    x = 230,785,525.73/16,071.36
  6. Step 6: Final answer
    x = 14,360.05

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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.