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Finding the Fourth Proportional to 29,984.22, 44,976.32 and 8,924.16

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Solution

The fourth proportional to 29,984.22, 44,976.32 and 8,924.16 is: 13,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984.22 : 44,976.32 = 8,924.16 : x
  2. Step 2: Convert to fraction form
    29,984.22/44,976.32 = 8,924.16/x
  3. Step 3: Cross multiply
    29,984.22x = 44,976.32 × 8,924.16
  4. Step 4: Simplify right side
    29,984.22x = 401,375,831.27
  5. Step 5: Solve for x
    x = 401,375,831.27/29,984.22
  6. Step 6: Final answer
    x = 13,386.24

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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.