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Finding the Fourth Proportional to 24,563.54, 36,814.48 and 10,507.07

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Solution

The fourth proportional to 24,563.54, 36,814.48 and 10,507.07 is: 15,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.54 : 36,814.48 = 10,507.07 : x
  2. Step 2: Convert to fraction form
    24,563.54/36,814.48 = 10,507.07/x
  3. Step 3: Cross multiply
    24,563.54x = 36,814.48 × 10,507.07
  4. Step 4: Simplify right side
    24,563.54x = 386,812,318.37
  5. Step 5: Solve for x
    x = 386,812,318.37/24,563.54
  6. Step 6: Final answer
    x = 15,747.42

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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.