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Finding the Fourth Proportional to 23,957.72, 35,948.76 and 10,807.16

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Solution

The fourth proportional to 23,957.72, 35,948.76 and 10,807.16 is: 16,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.72 : 35,948.76 = 10,807.16 : x
  2. Step 2: Convert to fraction form
    23,957.72/35,948.76 = 10,807.16/x
  3. Step 3: Cross multiply
    23,957.72x = 35,948.76 × 10,807.16
  4. Step 4: Simplify right side
    23,957.72x = 388,504,001.12
  5. Step 5: Solve for x
    x = 388,504,001.12/23,957.72
  6. Step 6: Final answer
    x = 16,216.23

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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.