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Finding the Fourth Proportional to 13,434.40, 20,137.20 and 5,111.20

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Solution

The fourth proportional to 13,434.40, 20,137.20 and 5,111.20 is: 7,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.40 : 20,137.20 = 5,111.20 : x
  2. Step 2: Convert to fraction form
    13,434.40/20,137.20 = 5,111.20/x
  3. Step 3: Cross multiply
    13,434.40x = 20,137.20 × 5,111.20
  4. Step 4: Simplify right side
    13,434.40x = 102,925,256.64
  5. Step 5: Solve for x
    x = 102,925,256.64/13,434.40
  6. Step 6: Final answer
    x = 7,661.32

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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.