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Finding the Fourth Proportional to 24,696.62, 37,051.01 and 7,166.20

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Solution

The fourth proportional to 24,696.62, 37,051.01 and 7,166.20 is: 10,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.62 : 37,051.01 = 7,166.20 : x
  2. Step 2: Convert to fraction form
    24,696.62/37,051.01 = 7,166.20/x
  3. Step 3: Cross multiply
    24,696.62x = 37,051.01 × 7,166.20
  4. Step 4: Simplify right side
    24,696.62x = 265,514,726.78
  5. Step 5: Solve for x
    x = 265,514,726.78/24,696.62
  6. Step 6: Final answer
    x = 10,751.06

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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.