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Finding the Fourth Proportional to 15,999.24, 22,077.72 and 9,626.16

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Solution

The fourth proportional to 15,999.24, 22,077.72 and 9,626.16 is: 13,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.24 : 22,077.72 = 9,626.16 : x
  2. Step 2: Convert to fraction form
    15,999.24/22,077.72 = 9,626.16/x
  3. Step 3: Cross multiply
    15,999.24x = 22,077.72 × 9,626.16
  4. Step 4: Simplify right side
    15,999.24x = 212,523,665.16
  5. Step 5: Solve for x
    x = 212,523,665.16/15,999.24
  6. Step 6: Final answer
    x = 13,283.36

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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.