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Finding the Fourth Proportional to 13,803.20, 20,705.14 and 5,038.11

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Solution

The fourth proportional to 13,803.20, 20,705.14 and 5,038.11 is: 7,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.20 : 20,705.14 = 5,038.11 : x
  2. Step 2: Convert to fraction form
    13,803.20/20,705.14 = 5,038.11/x
  3. Step 3: Cross multiply
    13,803.20x = 20,705.14 × 5,038.11
  4. Step 4: Simplify right side
    13,803.20x = 104,314,772.89
  5. Step 5: Solve for x
    x = 104,314,772.89/13,803.20
  6. Step 6: Final answer
    x = 7,557.29

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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.