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Finding the Fourth Proportional to 24,696.57, 37,046.07 and 7,167.77

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Solution

The fourth proportional to 24,696.57, 37,046.07 and 7,167.77 is: 10,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.57 : 37,046.07 = 7,167.77 : x
  2. Step 2: Convert to fraction form
    24,696.57/37,046.07 = 7,167.77/x
  3. Step 3: Cross multiply
    24,696.57x = 37,046.07 × 7,167.77
  4. Step 4: Simplify right side
    24,696.57x = 265,537,523.93
  5. Step 5: Solve for x
    x = 265,537,523.93/24,696.57
  6. Step 6: Final answer
    x = 10,752.00

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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.