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Finding the Fourth Proportional to 27,364, 41,050.38 and 11,569.20

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Solution

The fourth proportional to 27,364, 41,050.38 and 11,569.20 is: 17,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364 : 41,050.38 = 11,569.20 : x
  2. Step 2: Convert to fraction form
    27,364/41,050.38 = 11,569.20/x
  3. Step 3: Cross multiply
    27,364x = 41,050.38 × 11,569.20
  4. Step 4: Simplify right side
    27,364x = 474,920,056.30
  5. Step 5: Solve for x
    x = 474,920,056.30/27,364
  6. Step 6: Final answer
    x = 17,355.65

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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.