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Finding the Fourth Proportional to 13,397.16, 20,108.16 and 6,828.24

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Solution

The fourth proportional to 13,397.16, 20,108.16 and 6,828.24 is: 10,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.16 : 20,108.16 = 6,828.24 : x
  2. Step 2: Convert to fraction form
    13,397.16/20,108.16 = 6,828.24/x
  3. Step 3: Cross multiply
    13,397.16x = 20,108.16 × 6,828.24
  4. Step 4: Simplify right side
    13,397.16x = 137,303,342.44
  5. Step 5: Solve for x
    x = 137,303,342.44/13,397.16
  6. Step 6: Final answer
    x = 10,248.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.