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Finding the Fourth Proportional to 23,967.63, 35,957.93 and 9,175.95

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Solution

The fourth proportional to 23,967.63, 35,957.93 and 9,175.95 is: 13,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.63 : 35,957.93 = 9,175.95 : x
  2. Step 2: Convert to fraction form
    23,967.63/35,957.93 = 9,175.95/x
  3. Step 3: Cross multiply
    23,967.63x = 35,957.93 × 9,175.95
  4. Step 4: Simplify right side
    23,967.63x = 329,948,121.90
  5. Step 5: Solve for x
    x = 329,948,121.90/23,967.63
  6. Step 6: Final answer
    x = 13,766.41

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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.