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Finding the Fourth Proportional to 23,760.82, 35,641.47 and 7,116.94

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Solution

The fourth proportional to 23,760.82, 35,641.47 and 7,116.94 is: 10,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.82 : 35,641.47 = 7,116.94 : x
  2. Step 2: Convert to fraction form
    23,760.82/35,641.47 = 7,116.94/x
  3. Step 3: Cross multiply
    23,760.82x = 35,641.47 × 7,116.94
  4. Step 4: Simplify right side
    23,760.82x = 253,658,203.50
  5. Step 5: Solve for x
    x = 253,658,203.50/23,760.82
  6. Step 6: Final answer
    x = 10,675.48

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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.