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Finding the Fourth Proportional to 13,634.68, 20,432.50 and 10,848.80

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Solution

The fourth proportional to 13,634.68, 20,432.50 and 10,848.80 is: 16,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.68 : 20,432.50 = 10,848.80 : x
  2. Step 2: Convert to fraction form
    13,634.68/20,432.50 = 10,848.80/x
  3. Step 3: Cross multiply
    13,634.68x = 20,432.50 × 10,848.80
  4. Step 4: Simplify right side
    13,634.68x = 221,668,106
  5. Step 5: Solve for x
    x = 221,668,106/13,634.68
  6. Step 6: Final answer
    x = 16,257.67

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