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Finding the Fourth Proportional to 22,674.40, 34,006.74 and 7,090

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Solution

The fourth proportional to 22,674.40, 34,006.74 and 7,090 is: 10,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.40 : 34,006.74 = 7,090 : x
  2. Step 2: Convert to fraction form
    22,674.40/34,006.74 = 7,090/x
  3. Step 3: Cross multiply
    22,674.40x = 34,006.74 × 7,090
  4. Step 4: Simplify right side
    22,674.40x = 241,107,786.60
  5. Step 5: Solve for x
    x = 241,107,786.60/22,674.40
  6. Step 6: Final answer
    x = 10,633.48

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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.