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Finding the Fourth Proportional to 17,709.75, 24,437.33 and 10,155.69

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Solution

The fourth proportional to 17,709.75, 24,437.33 and 10,155.69 is: 14,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.75 : 24,437.33 = 10,155.69 : x
  2. Step 2: Convert to fraction form
    17,709.75/24,437.33 = 10,155.69/x
  3. Step 3: Cross multiply
    17,709.75x = 24,437.33 × 10,155.69
  4. Step 4: Simplify right side
    17,709.75x = 248,177,935.21
  5. Step 5: Solve for x
    x = 248,177,935.21/17,709.75
  6. Step 6: Final answer
    x = 14,013.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.