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Finding the Fourth Proportional to 20,213.19, 30,274.65 and 15,498.47

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Solution

The fourth proportional to 20,213.19, 30,274.65 and 15,498.47 is: 23,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.19 : 30,274.65 = 15,498.47 : x
  2. Step 2: Convert to fraction form
    20,213.19/30,274.65 = 15,498.47/x
  3. Step 3: Cross multiply
    20,213.19x = 30,274.65 × 15,498.47
  4. Step 4: Simplify right side
    20,213.19x = 469,210,830.47
  5. Step 5: Solve for x
    x = 469,210,830.47/20,213.19
  6. Step 6: Final answer
    x = 23,213.10

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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.