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Finding the Fourth Proportional to 20,177.70, 30,271.40 and 6,326.70

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Solution

The fourth proportional to 20,177.70, 30,271.40 and 6,326.70 is: 9,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.70 : 30,271.40 = 6,326.70 : x
  2. Step 2: Convert to fraction form
    20,177.70/30,271.40 = 6,326.70/x
  3. Step 3: Cross multiply
    20,177.70x = 30,271.40 × 6,326.70
  4. Step 4: Simplify right side
    20,177.70x = 191,518,066.38
  5. Step 5: Solve for x
    x = 191,518,066.38/20,177.70
  6. Step 6: Final answer
    x = 9,491.57

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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.