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Finding the Fourth Proportional to 13,803.31, 20,641.38 and 10,252.14

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Solution

The fourth proportional to 13,803.31, 20,641.38 and 10,252.14 is: 15,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.31 : 20,641.38 = 10,252.14 : x
  2. Step 2: Convert to fraction form
    13,803.31/20,641.38 = 10,252.14/x
  3. Step 3: Cross multiply
    13,803.31x = 20,641.38 × 10,252.14
  4. Step 4: Simplify right side
    13,803.31x = 211,618,317.55
  5. Step 5: Solve for x
    x = 211,618,317.55/13,803.31
  6. Step 6: Final answer
    x = 15,330.98

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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.