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Finding the Fourth Proportional to 14,878.59, 20,531.77 and 8,164.05

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Solution

The fourth proportional to 14,878.59, 20,531.77 and 8,164.05 is: 11,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.59 : 20,531.77 = 8,164.05 : x
  2. Step 2: Convert to fraction form
    14,878.59/20,531.77 = 8,164.05/x
  3. Step 3: Cross multiply
    14,878.59x = 20,531.77 × 8,164.05
  4. Step 4: Simplify right side
    14,878.59x = 167,622,356.05
  5. Step 5: Solve for x
    x = 167,622,356.05/14,878.59
  6. Step 6: Final answer
    x = 11,266.01

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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.