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Finding the Fourth Proportional to 15,724.23, 21,696.96 and 9,008.56

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Solution

The fourth proportional to 15,724.23, 21,696.96 and 9,008.56 is: 12,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.23 : 21,696.96 = 9,008.56 : x
  2. Step 2: Convert to fraction form
    15,724.23/21,696.96 = 9,008.56/x
  3. Step 3: Cross multiply
    15,724.23x = 21,696.96 × 9,008.56
  4. Step 4: Simplify right side
    15,724.23x = 195,458,365.98
  5. Step 5: Solve for x
    x = 195,458,365.98/15,724.23
  6. Step 6: Final answer
    x = 12,430.39

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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.