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Finding the Fourth Proportional to 23,235.38, 32,064.81 and 13,803.94

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Solution

The fourth proportional to 23,235.38, 32,064.81 and 13,803.94 is: 19,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.38 : 32,064.81 = 13,803.94 : x
  2. Step 2: Convert to fraction form
    23,235.38/32,064.81 = 13,803.94/x
  3. Step 3: Cross multiply
    23,235.38x = 32,064.81 × 13,803.94
  4. Step 4: Simplify right side
    23,235.38x = 442,620,713.35
  5. Step 5: Solve for x
    x = 442,620,713.35/23,235.38
  6. Step 6: Final answer
    x = 19,049.43

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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.