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Finding the Fourth Proportional to 16,306.99, 22,505.75 and 9,139.67

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Solution

The fourth proportional to 16,306.99, 22,505.75 and 9,139.67 is: 12,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.99 : 22,505.75 = 9,139.67 : x
  2. Step 2: Convert to fraction form
    16,306.99/22,505.75 = 9,139.67/x
  3. Step 3: Cross multiply
    16,306.99x = 22,505.75 × 9,139.67
  4. Step 4: Simplify right side
    16,306.99x = 205,695,088.55
  5. Step 5: Solve for x
    x = 205,695,088.55/16,306.99
  6. Step 6: Final answer
    x = 12,613.92

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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.