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Finding the Fourth Proportional to 25,622.93, 38,439.97 and 7,853.66

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Solution

The fourth proportional to 25,622.93, 38,439.97 and 7,853.66 is: 11,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.93 : 38,439.97 = 7,853.66 : x
  2. Step 2: Convert to fraction form
    25,622.93/38,439.97 = 7,853.66/x
  3. Step 3: Cross multiply
    25,622.93x = 38,439.97 × 7,853.66
  4. Step 4: Simplify right side
    25,622.93x = 301,894,387.11
  5. Step 5: Solve for x
    x = 301,894,387.11/25,622.93
  6. Step 6: Final answer
    x = 11,782.19

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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.