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Finding the Fourth Proportional to 25,344.66, 38,017.41 and 7,814.43

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Solution

The fourth proportional to 25,344.66, 38,017.41 and 7,814.43 is: 11,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.66 : 38,017.41 = 7,814.43 : x
  2. Step 2: Convert to fraction form
    25,344.66/38,017.41 = 7,814.43/x
  3. Step 3: Cross multiply
    25,344.66x = 38,017.41 × 7,814.43
  4. Step 4: Simplify right side
    25,344.66x = 297,084,389.23
  5. Step 5: Solve for x
    x = 297,084,389.23/25,344.66
  6. Step 6: Final answer
    x = 11,721.77

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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.