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Finding the Fourth Proportional to 15,409.98, 21,255.75 and 9,439.47

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Solution

The fourth proportional to 15,409.98, 21,255.75 and 9,439.47 is: 13,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.98 : 21,255.75 = 9,439.47 : x
  2. Step 2: Convert to fraction form
    15,409.98/21,255.75 = 9,439.47/x
  3. Step 3: Cross multiply
    15,409.98x = 21,255.75 × 9,439.47
  4. Step 4: Simplify right side
    15,409.98x = 200,643,014.45
  5. Step 5: Solve for x
    x = 200,643,014.45/15,409.98
  6. Step 6: Final answer
    x = 13,020.33

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