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Finding the Fourth Proportional to 24,241.10, 36,362.45 and 6,709.46

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Solution

The fourth proportional to 24,241.10, 36,362.45 and 6,709.46 is: 10,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.10 : 36,362.45 = 6,709.46 : x
  2. Step 2: Convert to fraction form
    24,241.10/36,362.45 = 6,709.46/x
  3. Step 3: Cross multiply
    24,241.10x = 36,362.45 × 6,709.46
  4. Step 4: Simplify right side
    24,241.10x = 243,972,188.42
  5. Step 5: Solve for x
    x = 243,972,188.42/24,241.10
  6. Step 6: Final answer
    x = 10,064.40

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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.