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Finding the Fourth Proportional to 15,561.72, 23,345.82 and 5,174.28

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Solution

The fourth proportional to 15,561.72, 23,345.82 and 5,174.28 is: 7,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,561.72 : 23,345.82 = 5,174.28 : x
  2. Step 2: Convert to fraction form
    15,561.72/23,345.82 = 5,174.28/x
  3. Step 3: Cross multiply
    15,561.72x = 23,345.82 × 5,174.28
  4. Step 4: Simplify right side
    15,561.72x = 120,797,809.51
  5. Step 5: Solve for x
    x = 120,797,809.51/15,561.72
  6. Step 6: Final answer
    x = 7,762.50

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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.