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Finding the Fourth Proportional to 23,548, 32,499.12 and 13,612

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Solution

The fourth proportional to 23,548, 32,499.12 and 13,612 is: 18,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548 : 32,499.12 = 13,612 : x
  2. Step 2: Convert to fraction form
    23,548/32,499.12 = 13,612/x
  3. Step 3: Cross multiply
    23,548x = 32,499.12 × 13,612
  4. Step 4: Simplify right side
    23,548x = 442,378,021.44
  5. Step 5: Solve for x
    x = 442,378,021.44/23,548
  6. Step 6: Final answer
    x = 18,786.22

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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.