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Finding the Fourth Proportional to 16,303.87, 22,499.28 and 9,230.95

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Solution

The fourth proportional to 16,303.87, 22,499.28 and 9,230.95 is: 12,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.87 : 22,499.28 = 9,230.95 : x
  2. Step 2: Convert to fraction form
    16,303.87/22,499.28 = 9,230.95/x
  3. Step 3: Cross multiply
    16,303.87x = 22,499.28 × 9,230.95
  4. Step 4: Simplify right side
    16,303.87x = 207,689,728.72
  5. Step 5: Solve for x
    x = 207,689,728.72/16,303.87
  6. Step 6: Final answer
    x = 12,738.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.