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Finding the Fourth Proportional to 27,804.26, 41,686.58 and 13,005.11

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Solution

The fourth proportional to 27,804.26, 41,686.58 and 13,005.11 is: 19,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.26 : 41,686.58 = 13,005.11 : x
  2. Step 2: Convert to fraction form
    27,804.26/41,686.58 = 13,005.11/x
  3. Step 3: Cross multiply
    27,804.26x = 41,686.58 × 13,005.11
  4. Step 4: Simplify right side
    27,804.26x = 542,138,460.67
  5. Step 5: Solve for x
    x = 542,138,460.67/27,804.26
  6. Step 6: Final answer
    x = 19,498.39

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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.