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Finding the Fourth Proportional to 18,142.34, 27,206.52 and 7,047.57

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Solution

The fourth proportional to 18,142.34, 27,206.52 and 7,047.57 is: 10,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.34 : 27,206.52 = 7,047.57 : x
  2. Step 2: Convert to fraction form
    18,142.34/27,206.52 = 7,047.57/x
  3. Step 3: Cross multiply
    18,142.34x = 27,206.52 × 7,047.57
  4. Step 4: Simplify right side
    18,142.34x = 191,739,854.16
  5. Step 5: Solve for x
    x = 191,739,854.16/18,142.34
  6. Step 6: Final answer
    x = 10,568.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.