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Finding the Fourth Proportional to 27,357.50, 41,038.26 and 9,827.48

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Solution

The fourth proportional to 27,357.50, 41,038.26 and 9,827.48 is: 14,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357.50 : 41,038.26 = 9,827.48 : x
  2. Step 2: Convert to fraction form
    27,357.50/41,038.26 = 9,827.48/x
  3. Step 3: Cross multiply
    27,357.50x = 41,038.26 × 9,827.48
  4. Step 4: Simplify right side
    27,357.50x = 403,302,474.19
  5. Step 5: Solve for x
    x = 403,302,474.19/27,357.50
  6. Step 6: Final answer
    x = 14,741.94

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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.