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Finding the Fourth Proportional to 20,262.84, 30,397.28 and 7,112.88

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Solution

The fourth proportional to 20,262.84, 30,397.28 and 7,112.88 is: 10,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.84 : 30,397.28 = 7,112.88 : x
  2. Step 2: Convert to fraction form
    20,262.84/30,397.28 = 7,112.88/x
  3. Step 3: Cross multiply
    20,262.84x = 30,397.28 × 7,112.88
  4. Step 4: Simplify right side
    20,262.84x = 216,212,204.97
  5. Step 5: Solve for x
    x = 216,212,204.97/20,262.84
  6. Step 6: Final answer
    x = 10,670.38

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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.