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Finding the Fourth Proportional to 24,443.52, 36,668.16 and 7,804.48

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Solution

The fourth proportional to 24,443.52, 36,668.16 and 7,804.48 is: 11,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,443.52 : 36,668.16 = 7,804.48 : x
  2. Step 2: Convert to fraction form
    24,443.52/36,668.16 = 7,804.48/x
  3. Step 3: Cross multiply
    24,443.52x = 36,668.16 × 7,804.48
  4. Step 4: Simplify right side
    24,443.52x = 286,175,921.36
  5. Step 5: Solve for x
    x = 286,175,921.36/24,443.52
  6. Step 6: Final answer
    x = 11,707.64

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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.