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Finding the Fourth Proportional to 23,269.32, 32,111.78 and 12,658.93

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Solution

The fourth proportional to 23,269.32, 32,111.78 and 12,658.93 is: 17,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.32 : 32,111.78 = 12,658.93 : x
  2. Step 2: Convert to fraction form
    23,269.32/32,111.78 = 12,658.93/x
  3. Step 3: Cross multiply
    23,269.32x = 32,111.78 × 12,658.93
  4. Step 4: Simplify right side
    23,269.32x = 406,500,631.62
  5. Step 5: Solve for x
    x = 406,500,631.62/23,269.32
  6. Step 6: Final answer
    x = 17,469.38

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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.