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Finding the Fourth Proportional to 16,285.50, 22,473.99 and 9,211.77

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Solution

The fourth proportional to 16,285.50, 22,473.99 and 9,211.77 is: 12,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.50 : 22,473.99 = 9,211.77 : x
  2. Step 2: Convert to fraction form
    16,285.50/22,473.99 = 9,211.77/x
  3. Step 3: Cross multiply
    16,285.50x = 22,473.99 × 9,211.77
  4. Step 4: Simplify right side
    16,285.50x = 207,025,226.86
  5. Step 5: Solve for x
    x = 207,025,226.86/16,285.50
  6. Step 6: Final answer
    x = 12,712.24

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1.5x scale

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.