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Finding the Fourth Proportional to 14,878.83, 20,533.10 and 8,164.07

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Solution

The fourth proportional to 14,878.83, 20,533.10 and 8,164.07 is: 11,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.83 : 20,533.10 = 8,164.07 : x
  2. Step 2: Convert to fraction form
    14,878.83/20,533.10 = 8,164.07/x
  3. Step 3: Cross multiply
    14,878.83x = 20,533.10 × 8,164.07
  4. Step 4: Simplify right side
    14,878.83x = 167,633,522.23
  5. Step 5: Solve for x
    x = 167,633,522.23/14,878.83
  6. Step 6: Final answer
    x = 11,266.58

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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.