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Finding the Fourth Proportional to 23,957.66, 35,968.13 and 20,470

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Solution

The fourth proportional to 23,957.66, 35,968.13 and 20,470 is: 30,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.66 : 35,968.13 = 20,470 : x
  2. Step 2: Convert to fraction form
    23,957.66/35,968.13 = 20,470/x
  3. Step 3: Cross multiply
    23,957.66x = 35,968.13 × 20,470
  4. Step 4: Simplify right side
    23,957.66x = 736,267,621.10
  5. Step 5: Solve for x
    x = 736,267,621.10/23,957.66
  6. Step 6: Final answer
    x = 30,732.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.