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Finding the Fourth Proportional to 17,969.16, 24,820.80 and 13,694.16

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Solution

The fourth proportional to 17,969.16, 24,820.80 and 13,694.16 is: 18,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.16 : 24,820.80 = 13,694.16 : x
  2. Step 2: Convert to fraction form
    17,969.16/24,820.80 = 13,694.16/x
  3. Step 3: Cross multiply
    17,969.16x = 24,820.80 × 13,694.16
  4. Step 4: Simplify right side
    17,969.16x = 339,900,006.53
  5. Step 5: Solve for x
    x = 339,900,006.53/17,969.16
  6. Step 6: Final answer
    x = 18,915.74

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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.