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Finding the Fourth Proportional to 14,650.32, 21,977.88 and 7,255.08

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Solution

The fourth proportional to 14,650.32, 21,977.88 and 7,255.08 is: 10,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.32 : 21,977.88 = 7,255.08 : x
  2. Step 2: Convert to fraction form
    14,650.32/21,977.88 = 7,255.08/x
  3. Step 3: Cross multiply
    14,650.32x = 21,977.88 × 7,255.08
  4. Step 4: Simplify right side
    14,650.32x = 159,451,277.63
  5. Step 5: Solve for x
    x = 159,451,277.63/14,650.32
  6. Step 6: Final answer
    x = 10,883.81

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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.