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Finding the Fourth Proportional to 14,221.12, 19,624.74 and 8,253.28

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Solution

The fourth proportional to 14,221.12, 19,624.74 and 8,253.28 is: 11,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.12 : 19,624.74 = 8,253.28 : x
  2. Step 2: Convert to fraction form
    14,221.12/19,624.74 = 8,253.28/x
  3. Step 3: Cross multiply
    14,221.12x = 19,624.74 × 8,253.28
  4. Step 4: Simplify right side
    14,221.12x = 161,968,474.15
  5. Step 5: Solve for x
    x = 161,968,474.15/14,221.12
  6. Step 6: Final answer
    x = 11,389.29

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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.