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Finding the Fourth Proportional to 22,902.24, 34,368.75 and 8,111.10

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Solution

The fourth proportional to 22,902.24, 34,368.75 and 8,111.10 is: 12,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.24 : 34,368.75 = 8,111.10 : x
  2. Step 2: Convert to fraction form
    22,902.24/34,368.75 = 8,111.10/x
  3. Step 3: Cross multiply
    22,902.24x = 34,368.75 × 8,111.10
  4. Step 4: Simplify right side
    22,902.24x = 278,768,368.13
  5. Step 5: Solve for x
    x = 278,768,368.13/22,902.24
  6. Step 6: Final answer
    x = 12,172.10

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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.