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Finding the Fourth Proportional to 12,816, 19,224.96 and 7,267.20

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Solution

The fourth proportional to 12,816, 19,224.96 and 7,267.20 is: 10,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 19,224.96 = 7,267.20 : x
  2. Step 2: Convert to fraction form
    12,816/19,224.96 = 7,267.20/x
  3. Step 3: Cross multiply
    12,816x = 19,224.96 × 7,267.20
  4. Step 4: Simplify right side
    12,816x = 139,711,629.31
  5. Step 5: Solve for x
    x = 139,711,629.31/12,816
  6. Step 6: Final answer
    x = 10,901.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.