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Finding the Fourth Proportional to 23,817, 32,868.38 and 13,206.41

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Solution

The fourth proportional to 23,817, 32,868.38 and 13,206.41 is: 18,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 32,868.38 = 13,206.41 : x
  2. Step 2: Convert to fraction form
    23,817/32,868.38 = 13,206.41/x
  3. Step 3: Cross multiply
    23,817x = 32,868.38 × 13,206.41
  4. Step 4: Simplify right side
    23,817x = 434,073,071.94
  5. Step 5: Solve for x
    x = 434,073,071.94/23,817
  6. Step 6: Final answer
    x = 18,225.35

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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.