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Finding the Fourth Proportional to 22,996.33, 34,498.90 and 7,409.77

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Solution

The fourth proportional to 22,996.33, 34,498.90 and 7,409.77 is: 11,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.33 : 34,498.90 = 7,409.77 : x
  2. Step 2: Convert to fraction form
    22,996.33/34,498.90 = 7,409.77/x
  3. Step 3: Cross multiply
    22,996.33x = 34,498.90 × 7,409.77
  4. Step 4: Simplify right side
    22,996.33x = 255,628,877.20
  5. Step 5: Solve for x
    x = 255,628,877.20/22,996.33
  6. Step 6: Final answer
    x = 11,116.07

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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.