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Finding the Fourth Proportional to 13,883.19, 20,832.93 and 5,124.21

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Solution

The fourth proportional to 13,883.19, 20,832.93 and 5,124.21 is: 7,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.19 : 20,832.93 = 5,124.21 : x
  2. Step 2: Convert to fraction form
    13,883.19/20,832.93 = 5,124.21/x
  3. Step 3: Cross multiply
    13,883.19x = 20,832.93 × 5,124.21
  4. Step 4: Simplify right side
    13,883.19x = 106,752,308.24
  5. Step 5: Solve for x
    x = 106,752,308.24/13,883.19
  6. Step 6: Final answer
    x = 7,689.32

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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.