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Finding the Fourth Proportional to 14,882.17, 20,536.74 and 8,167.81

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Solution

The fourth proportional to 14,882.17, 20,536.74 and 8,167.81 is: 11,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.17 : 20,536.74 = 8,167.81 : x
  2. Step 2: Convert to fraction form
    14,882.17/20,536.74 = 8,167.81/x
  3. Step 3: Cross multiply
    14,882.17x = 20,536.74 × 8,167.81
  4. Step 4: Simplify right side
    14,882.17x = 167,740,281.43
  5. Step 5: Solve for x
    x = 167,740,281.43/14,882.17
  6. Step 6: Final answer
    x = 11,271.22

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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.