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Finding the Fourth Proportional to 16,473.21, 22,733.15 and 9,205.31

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Solution

The fourth proportional to 16,473.21, 22,733.15 and 9,205.31 is: 12,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.21 : 22,733.15 = 9,205.31 : x
  2. Step 2: Convert to fraction form
    16,473.21/22,733.15 = 9,205.31/x
  3. Step 3: Cross multiply
    16,473.21x = 22,733.15 × 9,205.31
  4. Step 4: Simplify right side
    16,473.21x = 209,265,703.83
  5. Step 5: Solve for x
    x = 209,265,703.83/16,473.21
  6. Step 6: Final answer
    x = 12,703.40

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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.