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Finding the Fourth Proportional to 14,882.16, 20,537.32 and 8,167.90

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Solution

The fourth proportional to 14,882.16, 20,537.32 and 8,167.90 is: 11,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.16 : 20,537.32 = 8,167.90 : x
  2. Step 2: Convert to fraction form
    14,882.16/20,537.32 = 8,167.90/x
  3. Step 3: Cross multiply
    14,882.16x = 20,537.32 × 8,167.90
  4. Step 4: Simplify right side
    14,882.16x = 167,746,776.03
  5. Step 5: Solve for x
    x = 167,746,776.03/14,882.16
  6. Step 6: Final answer
    x = 11,271.67

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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.