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Finding the Fourth Proportional to 17,456.41, 24,089.13 and 9,498.67

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Solution

The fourth proportional to 17,456.41, 24,089.13 and 9,498.67 is: 13,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.41 : 24,089.13 = 9,498.67 : x
  2. Step 2: Convert to fraction form
    17,456.41/24,089.13 = 9,498.67/x
  3. Step 3: Cross multiply
    17,456.41x = 24,089.13 × 9,498.67
  4. Step 4: Simplify right side
    17,456.41x = 228,814,696.46
  5. Step 5: Solve for x
    x = 228,814,696.46/17,456.41
  6. Step 6: Final answer
    x = 13,107.78

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