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Finding the Fourth Proportional to 14,878.90, 20,533.10 and 8,164.41

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Solution

The fourth proportional to 14,878.90, 20,533.10 and 8,164.41 is: 11,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.90 : 20,533.10 = 8,164.41 : x
  2. Step 2: Convert to fraction form
    14,878.90/20,533.10 = 8,164.41/x
  3. Step 3: Cross multiply
    14,878.90x = 20,533.10 × 8,164.41
  4. Step 4: Simplify right side
    14,878.90x = 167,640,646.97
  5. Step 5: Solve for x
    x = 167,640,646.97/14,878.90
  6. Step 6: Final answer
    x = 11,267.01

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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.