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Finding the Fourth Proportional to 27,596.32, 41,357.20 and 19,788

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Solution

The fourth proportional to 27,596.32, 41,357.20 and 19,788 is: 29,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.32 : 41,357.20 = 19,788 : x
  2. Step 2: Convert to fraction form
    27,596.32/41,357.20 = 19,788/x
  3. Step 3: Cross multiply
    27,596.32x = 41,357.20 × 19,788
  4. Step 4: Simplify right side
    27,596.32x = 818,376,273.60
  5. Step 5: Solve for x
    x = 818,376,273.60/27,596.32
  6. Step 6: Final answer
    x = 29,655.27

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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.