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Finding the Fourth Proportional to 15,807.54, 23,694.91 and 7,046.58

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Solution

The fourth proportional to 15,807.54, 23,694.91 and 7,046.58 is: 10,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.54 : 23,694.91 = 7,046.58 : x
  2. Step 2: Convert to fraction form
    15,807.54/23,694.91 = 7,046.58/x
  3. Step 3: Cross multiply
    15,807.54x = 23,694.91 × 7,046.58
  4. Step 4: Simplify right side
    15,807.54x = 166,968,078.91
  5. Step 5: Solve for x
    x = 166,968,078.91/15,807.54
  6. Step 6: Final answer
    x = 10,562.56

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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.