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Finding the Fourth Proportional to 17,669.21, 24,385.19 and 10,116.14

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Solution

The fourth proportional to 17,669.21, 24,385.19 and 10,116.14 is: 13,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.21 : 24,385.19 = 10,116.14 : x
  2. Step 2: Convert to fraction form
    17,669.21/24,385.19 = 10,116.14/x
  3. Step 3: Cross multiply
    17,669.21x = 24,385.19 × 10,116.14
  4. Step 4: Simplify right side
    17,669.21x = 246,683,823.46
  5. Step 5: Solve for x
    x = 246,683,823.46/17,669.21
  6. Step 6: Final answer
    x = 13,961.23

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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.