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Finding the Fourth Proportional to 16,132.40, 22,268.16 and 10,174

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Solution

The fourth proportional to 16,132.40, 22,268.16 and 10,174 is: 14,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132.40 : 22,268.16 = 10,174 : x
  2. Step 2: Convert to fraction form
    16,132.40/22,268.16 = 10,174/x
  3. Step 3: Cross multiply
    16,132.40x = 22,268.16 × 10,174
  4. Step 4: Simplify right side
    16,132.40x = 226,556,259.84
  5. Step 5: Solve for x
    x = 226,556,259.84/16,132.40
  6. Step 6: Final answer
    x = 14,043.56

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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.