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Finding the Fourth Proportional to 27,466.49, 41,196.08 and 7,746.63

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Solution

The fourth proportional to 27,466.49, 41,196.08 and 7,746.63 is: 11,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.49 : 41,196.08 = 7,746.63 : x
  2. Step 2: Convert to fraction form
    27,466.49/41,196.08 = 7,746.63/x
  3. Step 3: Cross multiply
    27,466.49x = 41,196.08 × 7,746.63
  4. Step 4: Simplify right side
    27,466.49x = 319,130,789.21
  5. Step 5: Solve for x
    x = 319,130,789.21/27,466.49
  6. Step 6: Final answer
    x = 11,618.92

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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.