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Finding the Fourth Proportional to 20,442.70, 30,621.12 and 9,897.58

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Solution

The fourth proportional to 20,442.70, 30,621.12 and 9,897.58 is: 14,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.70 : 30,621.12 = 9,897.58 : x
  2. Step 2: Convert to fraction form
    20,442.70/30,621.12 = 9,897.58/x
  3. Step 3: Cross multiply
    20,442.70x = 30,621.12 × 9,897.58
  4. Step 4: Simplify right side
    20,442.70x = 303,074,984.89
  5. Step 5: Solve for x
    x = 303,074,984.89/20,442.70
  6. Step 6: Final answer
    x = 14,825.58

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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.