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Finding the Fourth Proportional to 17,534.88, 24,206.64 and 11,257.92

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Solution

The fourth proportional to 17,534.88, 24,206.64 and 11,257.92 is: 15,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.88 : 24,206.64 = 11,257.92 : x
  2. Step 2: Convert to fraction form
    17,534.88/24,206.64 = 11,257.92/x
  3. Step 3: Cross multiply
    17,534.88x = 24,206.64 × 11,257.92
  4. Step 4: Simplify right side
    17,534.88x = 272,516,416.59
  5. Step 5: Solve for x
    x = 272,516,416.59/17,534.88
  6. Step 6: Final answer
    x = 15,541.39

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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.