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Finding the Fourth Proportional to 16,174.64, 22,332.06 and 10,127.36

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Solution

The fourth proportional to 16,174.64, 22,332.06 and 10,127.36 is: 13,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.64 : 22,332.06 = 10,127.36 : x
  2. Step 2: Convert to fraction form
    16,174.64/22,332.06 = 10,127.36/x
  3. Step 3: Cross multiply
    16,174.64x = 22,332.06 × 10,127.36
  4. Step 4: Simplify right side
    16,174.64x = 226,164,811.16
  5. Step 5: Solve for x
    x = 226,164,811.16/16,174.64
  6. Step 6: Final answer
    x = 13,982.68

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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.