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Finding the Fourth Proportional to 16,129, 22,258.02 and 9,055.42

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Solution

The fourth proportional to 16,129, 22,258.02 and 9,055.42 is: 12,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129 : 22,258.02 = 9,055.42 : x
  2. Step 2: Convert to fraction form
    16,129/22,258.02 = 9,055.42/x
  3. Step 3: Cross multiply
    16,129x = 22,258.02 × 9,055.42
  4. Step 4: Simplify right side
    16,129x = 201,555,719.47
  5. Step 5: Solve for x
    x = 201,555,719.47/16,129
  6. Step 6: Final answer
    x = 12,496.48

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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.