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Finding the Fourth Proportional to 23,434.50, 35,156.61 and 9,583.50

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Solution

The fourth proportional to 23,434.50, 35,156.61 and 9,583.50 is: 14,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.50 : 35,156.61 = 9,583.50 : x
  2. Step 2: Convert to fraction form
    23,434.50/35,156.61 = 9,583.50/x
  3. Step 3: Cross multiply
    23,434.50x = 35,156.61 × 9,583.50
  4. Step 4: Simplify right side
    23,434.50x = 336,923,371.94
  5. Step 5: Solve for x
    x = 336,923,371.94/23,434.50
  6. Step 6: Final answer
    x = 14,377.24

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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.