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Finding the Fourth Proportional to 23,819.46, 32,870.67 and 13,209.12

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Solution

The fourth proportional to 23,819.46, 32,870.67 and 13,209.12 is: 18,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.46 : 32,870.67 = 13,209.12 : x
  2. Step 2: Convert to fraction form
    23,819.46/32,870.67 = 13,209.12/x
  3. Step 3: Cross multiply
    23,819.46x = 32,870.67 × 13,209.12
  4. Step 4: Simplify right side
    23,819.46x = 434,192,624.51
  5. Step 5: Solve for x
    x = 434,192,624.51/23,819.46
  6. Step 6: Final answer
    x = 18,228.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.