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Finding the Fourth Proportional to 22,403.69, 33,617.13 and 9,932.32

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Solution

The fourth proportional to 22,403.69, 33,617.13 and 9,932.32 is: 14,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.69 : 33,617.13 = 9,932.32 : x
  2. Step 2: Convert to fraction form
    22,403.69/33,617.13 = 9,932.32/x
  3. Step 3: Cross multiply
    22,403.69x = 33,617.13 × 9,932.32
  4. Step 4: Simplify right side
    22,403.69x = 333,896,097.42
  5. Step 5: Solve for x
    x = 333,896,097.42/22,403.69
  6. Step 6: Final answer
    x = 14,903.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.