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Finding the Fourth Proportional to 15,202.51, 20,954.34 and 10,164.87

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Solution

The fourth proportional to 15,202.51, 20,954.34 and 10,164.87 is: 14,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.51 : 20,954.34 = 10,164.87 : x
  2. Step 2: Convert to fraction form
    15,202.51/20,954.34 = 10,164.87/x
  3. Step 3: Cross multiply
    15,202.51x = 20,954.34 × 10,164.87
  4. Step 4: Simplify right side
    15,202.51x = 212,998,142.04
  5. Step 5: Solve for x
    x = 212,998,142.04/15,202.51
  6. Step 6: Final answer
    x = 14,010.72

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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.