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Finding the Fourth Proportional to 24,935.81, 37,395.54 and 8,291.25

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Solution

The fourth proportional to 24,935.81, 37,395.54 and 8,291.25 is: 12,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.81 : 37,395.54 = 8,291.25 : x
  2. Step 2: Convert to fraction form
    24,935.81/37,395.54 = 8,291.25/x
  3. Step 3: Cross multiply
    24,935.81x = 37,395.54 × 8,291.25
  4. Step 4: Simplify right side
    24,935.81x = 310,055,771.03
  5. Step 5: Solve for x
    x = 310,055,771.03/24,935.81
  6. Step 6: Final answer
    x = 12,434.16

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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.