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Finding the Fourth Proportional to 14,624.25, 20,181.08 and 8,656.00

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Solution

The fourth proportional to 14,624.25, 20,181.08 and 8,656.00 is: 11,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.25 : 20,181.08 = 8,656.00 : x
  2. Step 2: Convert to fraction form
    14,624.25/20,181.08 = 8,656.00/x
  3. Step 3: Cross multiply
    14,624.25x = 20,181.08 × 8,656.00
  4. Step 4: Simplify right side
    14,624.25x = 174,687,399.67
  5. Step 5: Solve for x
    x = 174,687,399.67/14,624.25
  6. Step 6: Final answer
    x = 11,945.05

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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.