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Finding the Fourth Proportional to 24,696.52, 37,047.66 and 8,681.14

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Solution

The fourth proportional to 24,696.52, 37,047.66 and 8,681.14 is: 13,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.52 : 37,047.66 = 8,681.14 : x
  2. Step 2: Convert to fraction form
    24,696.52/37,047.66 = 8,681.14/x
  3. Step 3: Cross multiply
    24,696.52x = 37,047.66 × 8,681.14
  4. Step 4: Simplify right side
    24,696.52x = 321,615,923.13
  5. Step 5: Solve for x
    x = 321,615,923.13/24,696.52
  6. Step 6: Final answer
    x = 13,022.72

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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.