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Finding the Fourth Proportional to 24,499.36, 36,751.86 and 9,709.56

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Solution

The fourth proportional to 24,499.36, 36,751.86 and 9,709.56 is: 14,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.36 : 36,751.86 = 9,709.56 : x
  2. Step 2: Convert to fraction form
    24,499.36/36,751.86 = 9,709.56/x
  3. Step 3: Cross multiply
    24,499.36x = 36,751.86 × 9,709.56
  4. Step 4: Simplify right side
    24,499.36x = 356,844,389.78
  5. Step 5: Solve for x
    x = 356,844,389.78/24,499.36
  6. Step 6: Final answer
    x = 14,565.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.