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Finding the Fourth Proportional to 17,402.69, 24,014.39 and 10,232.91

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Solution

The fourth proportional to 17,402.69, 24,014.39 and 10,232.91 is: 14,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.69 : 24,014.39 = 10,232.91 : x
  2. Step 2: Convert to fraction form
    17,402.69/24,014.39 = 10,232.91/x
  3. Step 3: Cross multiply
    17,402.69x = 24,014.39 × 10,232.91
  4. Step 4: Simplify right side
    17,402.69x = 245,737,040.41
  5. Step 5: Solve for x
    x = 245,737,040.41/17,402.69
  6. Step 6: Final answer
    x = 14,120.64

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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.