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Finding the Fourth Proportional to 27,804.81, 41,678.06 and 13,001.25

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Solution

The fourth proportional to 27,804.81, 41,678.06 and 13,001.25 is: 19,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.81 : 41,678.06 = 13,001.25 : x
  2. Step 2: Convert to fraction form
    27,804.81/41,678.06 = 13,001.25/x
  3. Step 3: Cross multiply
    27,804.81x = 41,678.06 × 13,001.25
  4. Step 4: Simplify right side
    27,804.81x = 541,866,812.57
  5. Step 5: Solve for x
    x = 541,866,812.57/27,804.81
  6. Step 6: Final answer
    x = 19,488.24

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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.