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Finding the Fourth Proportional to 16,307.76, 22,504.68 and 9,234.60

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Solution

The fourth proportional to 16,307.76, 22,504.68 and 9,234.60 is: 12,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.76 : 22,504.68 = 9,234.60 : x
  2. Step 2: Convert to fraction form
    16,307.76/22,504.68 = 9,234.60/x
  3. Step 3: Cross multiply
    16,307.76x = 22,504.68 × 9,234.60
  4. Step 4: Simplify right side
    16,307.76x = 207,821,717.93
  5. Step 5: Solve for x
    x = 207,821,717.93/16,307.76
  6. Step 6: Final answer
    x = 12,743.73

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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.