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Finding the Fourth Proportional to 22,613.64, 31,178.14 and 16,160.99

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Solution

The fourth proportional to 22,613.64, 31,178.14 and 16,160.99 is: 22,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.64 : 31,178.14 = 16,160.99 : x
  2. Step 2: Convert to fraction form
    22,613.64/31,178.14 = 16,160.99/x
  3. Step 3: Cross multiply
    22,613.64x = 31,178.14 × 16,160.99
  4. Step 4: Simplify right side
    22,613.64x = 503,869,452.87
  5. Step 5: Solve for x
    x = 503,869,452.87/22,613.64
  6. Step 6: Final answer
    x = 22,281.67

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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.