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Finding the Fourth Proportional to 16,102.23, 24,153.89 and 4,858.08

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Solution

The fourth proportional to 16,102.23, 24,153.89 and 4,858.08 is: 7,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.23 : 24,153.89 = 4,858.08 : x
  2. Step 2: Convert to fraction form
    16,102.23/24,153.89 = 4,858.08/x
  3. Step 3: Cross multiply
    16,102.23x = 24,153.89 × 4,858.08
  4. Step 4: Simplify right side
    16,102.23x = 117,341,505.64
  5. Step 5: Solve for x
    x = 117,341,505.64/16,102.23
  6. Step 6: Final answer
    x = 7,287.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.