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Finding the Fourth Proportional to 20,152.80, 30,215.52 and 10,272.96

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Solution

The fourth proportional to 20,152.80, 30,215.52 and 10,272.96 is: 15,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.80 : 30,215.52 = 10,272.96 : x
  2. Step 2: Convert to fraction form
    20,152.80/30,215.52 = 10,272.96/x
  3. Step 3: Cross multiply
    20,152.80x = 30,215.52 × 10,272.96
  4. Step 4: Simplify right side
    20,152.80x = 310,402,828.34
  5. Step 5: Solve for x
    x = 310,402,828.34/20,152.80
  6. Step 6: Final answer
    x = 15,402.47

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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.