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Finding the Fourth Proportional to 27,537.16, 41,307.30 and 7,814.16

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Solution

The fourth proportional to 27,537.16, 41,307.30 and 7,814.16 is: 11,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.16 : 41,307.30 = 7,814.16 : x
  2. Step 2: Convert to fraction form
    27,537.16/41,307.30 = 7,814.16/x
  3. Step 3: Cross multiply
    27,537.16x = 41,307.30 × 7,814.16
  4. Step 4: Simplify right side
    27,537.16x = 322,781,851.37
  5. Step 5: Solve for x
    x = 322,781,851.37/27,537.16
  6. Step 6: Final answer
    x = 11,721.68

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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.