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Finding the Fourth Proportional to 16,230.14, 22,398.63 and 9,153.98

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Solution

The fourth proportional to 16,230.14, 22,398.63 and 9,153.98 is: 12,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.14 : 22,398.63 = 9,153.98 : x
  2. Step 2: Convert to fraction form
    16,230.14/22,398.63 = 9,153.98/x
  3. Step 3: Cross multiply
    16,230.14x = 22,398.63 × 9,153.98
  4. Step 4: Simplify right side
    16,230.14x = 205,036,611.05
  5. Step 5: Solve for x
    x = 205,036,611.05/16,230.14
  6. Step 6: Final answer
    x = 12,633.08

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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.