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Finding the Fourth Proportional to 23,433.38, 32,338 and 12,823.01

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Solution

The fourth proportional to 23,433.38, 32,338 and 12,823.01 is: 17,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.38 : 32,338 = 12,823.01 : x
  2. Step 2: Convert to fraction form
    23,433.38/32,338 = 12,823.01/x
  3. Step 3: Cross multiply
    23,433.38x = 32,338 × 12,823.01
  4. Step 4: Simplify right side
    23,433.38x = 414,670,497.38
  5. Step 5: Solve for x
    x = 414,670,497.38/23,433.38
  6. Step 6: Final answer
    x = 17,695.72

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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.