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Finding the Fourth Proportional to 14,844, 20,491.12 and 10,865.28

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Solution

The fourth proportional to 14,844, 20,491.12 and 10,865.28 is: 14,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844 : 20,491.12 = 10,865.28 : x
  2. Step 2: Convert to fraction form
    14,844/20,491.12 = 10,865.28/x
  3. Step 3: Cross multiply
    14,844x = 20,491.12 × 10,865.28
  4. Step 4: Simplify right side
    14,844x = 222,641,756.31
  5. Step 5: Solve for x
    x = 222,641,756.31/14,844
  6. Step 6: Final answer
    x = 14,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.