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Finding the Fourth Proportional to 15,424, 21,295.36 and 9,546.24

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Solution

The fourth proportional to 15,424, 21,295.36 and 9,546.24 is: 13,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 21,295.36 = 9,546.24 : x
  2. Step 2: Convert to fraction form
    15,424/21,295.36 = 9,546.24/x
  3. Step 3: Cross multiply
    15,424x = 21,295.36 × 9,546.24
  4. Step 4: Simplify right side
    15,424x = 203,290,617.45
  5. Step 5: Solve for x
    x = 203,290,617.45/15,424
  6. Step 6: Final answer
    x = 13,180.15

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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.