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Finding the Fourth Proportional to 24,509.40, 36,755.37 and 10,468.86

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Solution

The fourth proportional to 24,509.40, 36,755.37 and 10,468.86 is: 15,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.40 : 36,755.37 = 10,468.86 : x
  2. Step 2: Convert to fraction form
    24,509.40/36,755.37 = 10,468.86/x
  3. Step 3: Cross multiply
    24,509.40x = 36,755.37 × 10,468.86
  4. Step 4: Simplify right side
    24,509.40x = 384,786,822.78
  5. Step 5: Solve for x
    x = 384,786,822.78/24,509.40
  6. Step 6: Final answer
    x = 15,699.56

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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.