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Finding the Fourth Proportional to 29,653.25, 40,919.73 and 16,221.83

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Solution

The fourth proportional to 29,653.25, 40,919.73 and 16,221.83 is: 22,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653.25 : 40,919.73 = 16,221.83 : x
  2. Step 2: Convert to fraction form
    29,653.25/40,919.73 = 16,221.83/x
  3. Step 3: Cross multiply
    29,653.25x = 40,919.73 × 16,221.83
  4. Step 4: Simplify right side
    29,653.25x = 663,792,699.11
  5. Step 5: Solve for x
    x = 663,792,699.11/29,653.25
  6. Step 6: Final answer
    x = 22,385.16

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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.