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Finding the Fourth Proportional to 23,813.57, 35,717.83 and 9,775.07

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Solution

The fourth proportional to 23,813.57, 35,717.83 and 9,775.07 is: 14,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.57 : 35,717.83 = 9,775.07 : x
  2. Step 2: Convert to fraction form
    23,813.57/35,717.83 = 9,775.07/x
  3. Step 3: Cross multiply
    23,813.57x = 35,717.83 × 9,775.07
  4. Step 4: Simplify right side
    23,813.57x = 349,144,288.50
  5. Step 5: Solve for x
    x = 349,144,288.50/23,813.57
  6. Step 6: Final answer
    x = 14,661.57

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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.