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Finding the Fourth Proportional to 17,752.16, 24,497.52 and 9,794

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Solution

The fourth proportional to 17,752.16, 24,497.52 and 9,794 is: 13,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.16 : 24,497.52 = 9,794 : x
  2. Step 2: Convert to fraction form
    17,752.16/24,497.52 = 9,794/x
  3. Step 3: Cross multiply
    17,752.16x = 24,497.52 × 9,794
  4. Step 4: Simplify right side
    17,752.16x = 239,928,710.88
  5. Step 5: Solve for x
    x = 239,928,710.88/17,752.16
  6. Step 6: Final answer
    x = 13,515.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.