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Finding the Fourth Proportional to 17,449.34, 24,079.38 and 9,491.57

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Solution

The fourth proportional to 17,449.34, 24,079.38 and 9,491.57 is: 13,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.34 : 24,079.38 = 9,491.57 : x
  2. Step 2: Convert to fraction form
    17,449.34/24,079.38 = 9,491.57/x
  3. Step 3: Cross multiply
    17,449.34x = 24,079.38 × 9,491.57
  4. Step 4: Simplify right side
    17,449.34x = 228,551,055.13
  5. Step 5: Solve for x
    x = 228,551,055.13/17,449.34
  6. Step 6: Final answer
    x = 13,097.98

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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.