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Finding the Fourth Proportional to 16,305.94, 22,502.25 and 9,503.98

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Solution

The fourth proportional to 16,305.94, 22,502.25 and 9,503.98 is: 13,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.94 : 22,502.25 = 9,503.98 : x
  2. Step 2: Convert to fraction form
    16,305.94/22,502.25 = 9,503.98/x
  3. Step 3: Cross multiply
    16,305.94x = 22,502.25 × 9,503.98
  4. Step 4: Simplify right side
    16,305.94x = 213,860,995.82
  5. Step 5: Solve for x
    x = 213,860,995.82/16,305.94
  6. Step 6: Final answer
    x = 13,115.53

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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.