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Finding the Fourth Proportional to 14,500.56, 21,748.32 and 6,185.28

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Solution

The fourth proportional to 14,500.56, 21,748.32 and 6,185.28 is: 9,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.56 : 21,748.32 = 6,185.28 : x
  2. Step 2: Convert to fraction form
    14,500.56/21,748.32 = 6,185.28/x
  3. Step 3: Cross multiply
    14,500.56x = 21,748.32 × 6,185.28
  4. Step 4: Simplify right side
    14,500.56x = 134,519,448.73
  5. Step 5: Solve for x
    x = 134,519,448.73/14,500.56
  6. Step 6: Final answer
    x = 9,276.85

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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.