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Finding the Fourth Proportional to 27,862.58, 41,808.24 and 18,509.06

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Solution

The fourth proportional to 27,862.58, 41,808.24 and 18,509.06 is: 27,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.58 : 41,808.24 = 18,509.06 : x
  2. Step 2: Convert to fraction form
    27,862.58/41,808.24 = 18,509.06/x
  3. Step 3: Cross multiply
    27,862.58x = 41,808.24 × 18,509.06
  4. Step 4: Simplify right side
    27,862.58x = 773,831,222.65
  5. Step 5: Solve for x
    x = 773,831,222.65/27,862.58
  6. Step 6: Final answer
    x = 27,773.14

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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.