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Finding the Fourth Proportional to 17,696.15, 24,421.70 and 10,143.74

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Solution

The fourth proportional to 17,696.15, 24,421.70 and 10,143.74 is: 13,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.15 : 24,421.70 = 10,143.74 : x
  2. Step 2: Convert to fraction form
    17,696.15/24,421.70 = 10,143.74/x
  3. Step 3: Cross multiply
    17,696.15x = 24,421.70 × 10,143.74
  4. Step 4: Simplify right side
    17,696.15x = 247,727,331.95
  5. Step 5: Solve for x
    x = 247,727,331.95/17,696.15
  6. Step 6: Final answer
    x = 13,998.94

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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.