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Finding the Fourth Proportional to 15,924.77, 23,891.48 and 5,537.33

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Solution

The fourth proportional to 15,924.77, 23,891.48 and 5,537.33 is: 8,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.77 : 23,891.48 = 5,537.33 : x
  2. Step 2: Convert to fraction form
    15,924.77/23,891.48 = 5,537.33/x
  3. Step 3: Cross multiply
    15,924.77x = 23,891.48 × 5,537.33
  4. Step 4: Simplify right side
    15,924.77x = 132,294,981.26
  5. Step 5: Solve for x
    x = 132,294,981.26/15,924.77
  6. Step 6: Final answer
    x = 8,307.50

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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.