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Finding the Fourth Proportional to 27,804.30, 41,706.45 and 13,027.47

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Solution

The fourth proportional to 27,804.30, 41,706.45 and 13,027.47 is: 19,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.30 : 41,706.45 = 13,027.47 : x
  2. Step 2: Convert to fraction form
    27,804.30/41,706.45 = 13,027.47/x
  3. Step 3: Cross multiply
    27,804.30x = 41,706.45 × 13,027.47
  4. Step 4: Simplify right side
    27,804.30x = 543,329,526.18
  5. Step 5: Solve for x
    x = 543,329,526.18/27,804.30
  6. Step 6: Final answer
    x = 19,541.21

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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.