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Finding the Fourth Proportional to 23,697.65, 32,702.91 and 12,942.24

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Solution

The fourth proportional to 23,697.65, 32,702.91 and 12,942.24 is: 17,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.65 : 32,702.91 = 12,942.24 : x
  2. Step 2: Convert to fraction form
    23,697.65/32,702.91 = 12,942.24/x
  3. Step 3: Cross multiply
    23,697.65x = 32,702.91 × 12,942.24
  4. Step 4: Simplify right side
    23,697.65x = 423,248,909.92
  5. Step 5: Solve for x
    x = 423,248,909.92/23,697.65
  6. Step 6: Final answer
    x = 17,860.38

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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.