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Finding the Fourth Proportional to 22,862.24, 34,296.54 and 7,068.56

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Solution

The fourth proportional to 22,862.24, 34,296.54 and 7,068.56 is: 10,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.24 : 34,296.54 = 7,068.56 : x
  2. Step 2: Convert to fraction form
    22,862.24/34,296.54 = 7,068.56/x
  3. Step 3: Cross multiply
    22,862.24x = 34,296.54 × 7,068.56
  4. Step 4: Simplify right side
    22,862.24x = 242,426,979.30
  5. Step 5: Solve for x
    x = 242,426,979.30/22,862.24
  6. Step 6: Final answer
    x = 10,603.82

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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.