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Finding the Fourth Proportional to 15,791.96, 23,687.72 and 4,698.71

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Solution

The fourth proportional to 15,791.96, 23,687.72 and 4,698.71 is: 7,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.96 : 23,687.72 = 4,698.71 : x
  2. Step 2: Convert to fraction form
    15,791.96/23,687.72 = 4,698.71/x
  3. Step 3: Cross multiply
    15,791.96x = 23,687.72 × 4,698.71
  4. Step 4: Simplify right side
    15,791.96x = 111,301,678.14
  5. Step 5: Solve for x
    x = 111,301,678.14/15,791.96
  6. Step 6: Final answer
    x = 7,048.00

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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.