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Finding the Fourth Proportional to 15,176.64, 20,936.33 and 10,142.10

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Solution

The fourth proportional to 15,176.64, 20,936.33 and 10,142.10 is: 13,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.64 : 20,936.33 = 10,142.10 : x
  2. Step 2: Convert to fraction form
    15,176.64/20,936.33 = 10,142.10/x
  3. Step 3: Cross multiply
    15,176.64x = 20,936.33 × 10,142.10
  4. Step 4: Simplify right side
    15,176.64x = 212,338,352.49
  5. Step 5: Solve for x
    x = 212,338,352.49/15,176.64
  6. Step 6: Final answer
    x = 13,991.13

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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.