Home / 23,814.78-32,864.34-13,206

Finding the Fourth Proportional to 23,814.78, 32,864.34 and 13,206

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Solution

The fourth proportional to 23,814.78, 32,864.34 and 13,206 is: 18,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.78 : 32,864.34 = 13,206 : x
  2. Step 2: Convert to fraction form
    23,814.78/32,864.34 = 13,206/x
  3. Step 3: Cross multiply
    23,814.78x = 32,864.34 × 13,206
  4. Step 4: Simplify right side
    23,814.78x = 434,006,474.04
  5. Step 5: Solve for x
    x = 434,006,474.04/23,814.78
  6. Step 6: Final answer
    x = 18,224.25

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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.