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Finding the Fourth Proportional to 22,697.31, 34,051.44 and 7,114.94

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Solution

The fourth proportional to 22,697.31, 34,051.44 and 7,114.94 is: 10,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.31 : 34,051.44 = 7,114.94 : x
  2. Step 2: Convert to fraction form
    22,697.31/34,051.44 = 7,114.94/x
  3. Step 3: Cross multiply
    22,697.31x = 34,051.44 × 7,114.94
  4. Step 4: Simplify right side
    22,697.31x = 242,273,952.51
  5. Step 5: Solve for x
    x = 242,273,952.51/22,697.31
  6. Step 6: Final answer
    x = 10,674.13

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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.