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Finding the Fourth Proportional to 23,536, 35,318.59 and 13,679.92

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Solution

The fourth proportional to 23,536, 35,318.59 and 13,679.92 is: 20,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536 : 35,318.59 = 13,679.92 : x
  2. Step 2: Convert to fraction form
    23,536/35,318.59 = 13,679.92/x
  3. Step 3: Cross multiply
    23,536x = 35,318.59 × 13,679.92
  4. Step 4: Simplify right side
    23,536x = 483,155,485.71
  5. Step 5: Solve for x
    x = 483,155,485.71/23,536
  6. Step 6: Final answer
    x = 20,528.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.