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Finding the Fourth Proportional to 16,174.28, 22,328.06 and 9,458.98

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Solution

The fourth proportional to 16,174.28, 22,328.06 and 9,458.98 is: 13,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.28 : 22,328.06 = 9,458.98 : x
  2. Step 2: Convert to fraction form
    16,174.28/22,328.06 = 9,458.98/x
  3. Step 3: Cross multiply
    16,174.28x = 22,328.06 × 9,458.98
  4. Step 4: Simplify right side
    16,174.28x = 211,200,569.86
  5. Step 5: Solve for x
    x = 211,200,569.86/16,174.28
  6. Step 6: Final answer
    x = 13,057.80

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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.