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Finding the Fourth Proportional to 27,822, 38,394.40 and 15,246.48

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Solution

The fourth proportional to 27,822, 38,394.40 and 15,246.48 is: 21,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 38,394.40 = 15,246.48 : x
  2. Step 2: Convert to fraction form
    27,822/38,394.40 = 15,246.48/x
  3. Step 3: Cross multiply
    27,822x = 38,394.40 × 15,246.48
  4. Step 4: Simplify right side
    27,822x = 585,379,451.71
  5. Step 5: Solve for x
    x = 585,379,451.71/27,822
  6. Step 6: Final answer
    x = 21,040.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.