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Finding the Fourth Proportional to 20,459.84, 30,691.05 and 6,420.42

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Solution

The fourth proportional to 20,459.84, 30,691.05 and 6,420.42 is: 9,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.84 : 30,691.05 = 6,420.42 : x
  2. Step 2: Convert to fraction form
    20,459.84/30,691.05 = 6,420.42/x
  3. Step 3: Cross multiply
    20,459.84x = 30,691.05 × 6,420.42
  4. Step 4: Simplify right side
    20,459.84x = 197,049,397.74
  5. Step 5: Solve for x
    x = 197,049,397.74/20,459.84
  6. Step 6: Final answer
    x = 9,631.03

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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.