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Finding the Fourth Proportional to 17,462, 24,097.52 and 9,504.20

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Solution

The fourth proportional to 17,462, 24,097.52 and 9,504.20 is: 13,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462 : 24,097.52 = 9,504.20 : x
  2. Step 2: Convert to fraction form
    17,462/24,097.52 = 9,504.20/x
  3. Step 3: Cross multiply
    17,462x = 24,097.52 × 9,504.20
  4. Step 4: Simplify right side
    17,462x = 229,027,649.58
  5. Step 5: Solve for x
    x = 229,027,649.58/17,462
  6. Step 6: Final answer
    x = 13,115.77

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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.