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Finding the Fourth Proportional to 15,866.49, 23,799.66 and 9,334.24

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Solution

The fourth proportional to 15,866.49, 23,799.66 and 9,334.24 is: 14,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.49 : 23,799.66 = 9,334.24 : x
  2. Step 2: Convert to fraction form
    15,866.49/23,799.66 = 9,334.24/x
  3. Step 3: Cross multiply
    15,866.49x = 23,799.66 × 9,334.24
  4. Step 4: Simplify right side
    15,866.49x = 222,151,738.36
  5. Step 5: Solve for x
    x = 222,151,738.36/15,866.49
  6. Step 6: Final answer
    x = 14,001.32

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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.