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Finding the Fourth Proportional to 16,141.12, 22,283.04 and 11,164.48

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Solution

The fourth proportional to 16,141.12, 22,283.04 and 11,164.48 is: 15,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.12 : 22,283.04 = 11,164.48 : x
  2. Step 2: Convert to fraction form
    16,141.12/22,283.04 = 11,164.48/x
  3. Step 3: Cross multiply
    16,141.12x = 22,283.04 × 11,164.48
  4. Step 4: Simplify right side
    16,141.12x = 248,778,554.42
  5. Step 5: Solve for x
    x = 248,778,554.42/16,141.12
  6. Step 6: Final answer
    x = 15,412.72

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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.