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Finding the Fourth Proportional to 23,957.02, 35,920 and 9,913.24

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Solution

The fourth proportional to 23,957.02, 35,920 and 9,913.24 is: 14,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.02 : 35,920 = 9,913.24 : x
  2. Step 2: Convert to fraction form
    23,957.02/35,920 = 9,913.24/x
  3. Step 3: Cross multiply
    23,957.02x = 35,920 × 9,913.24
  4. Step 4: Simplify right side
    23,957.02x = 356,083,580.80
  5. Step 5: Solve for x
    x = 356,083,580.80/23,957.02
  6. Step 6: Final answer
    x = 14,863.43

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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.