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Finding the Fourth Proportional to 14,824.32, 22,246.14 and 5,464.44

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Solution

The fourth proportional to 14,824.32, 22,246.14 and 5,464.44 is: 8,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.32 : 22,246.14 = 5,464.44 : x
  2. Step 2: Convert to fraction form
    14,824.32/22,246.14 = 5,464.44/x
  3. Step 3: Cross multiply
    14,824.32x = 22,246.14 × 5,464.44
  4. Step 4: Simplify right side
    14,824.32x = 121,562,697.26
  5. Step 5: Solve for x
    x = 121,562,697.26/14,824.32
  6. Step 6: Final answer
    x = 8,200.22

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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.