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Finding the Fourth Proportional to 22,888.24, 34,347.75 and 8,097.10

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Solution

The fourth proportional to 22,888.24, 34,347.75 and 8,097.10 is: 12,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888.24 : 34,347.75 = 8,097.10 : x
  2. Step 2: Convert to fraction form
    22,888.24/34,347.75 = 8,097.10/x
  3. Step 3: Cross multiply
    22,888.24x = 34,347.75 × 8,097.10
  4. Step 4: Simplify right side
    22,888.24x = 278,117,166.53
  5. Step 5: Solve for x
    x = 278,117,166.53/22,888.24
  6. Step 6: Final answer
    x = 12,151.09

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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.