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Finding the Fourth Proportional to 20,838.60, 31,272.30 and 15,000.20

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Solution

The fourth proportional to 20,838.60, 31,272.30 and 15,000.20 is: 22,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.60 : 31,272.30 = 15,000.20 : x
  2. Step 2: Convert to fraction form
    20,838.60/31,272.30 = 15,000.20/x
  3. Step 3: Cross multiply
    20,838.60x = 31,272.30 × 15,000.20
  4. Step 4: Simplify right side
    20,838.60x = 469,090,754.46
  5. Step 5: Solve for x
    x = 469,090,754.46/20,838.60
  6. Step 6: Final answer
    x = 22,510.67

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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.