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Finding the Fourth Proportional to 13,807.05, 20,690.10 and 10,141.13

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Solution

The fourth proportional to 13,807.05, 20,690.10 and 10,141.13 is: 15,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.05 : 20,690.10 = 10,141.13 : x
  2. Step 2: Convert to fraction form
    13,807.05/20,690.10 = 10,141.13/x
  3. Step 3: Cross multiply
    13,807.05x = 20,690.10 × 10,141.13
  4. Step 4: Simplify right side
    13,807.05x = 209,820,943.11
  5. Step 5: Solve for x
    x = 209,820,943.11/13,807.05
  6. Step 6: Final answer
    x = 15,196.65

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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.