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Finding the Fourth Proportional to 25,794.63, 38,697.63 and 8,266.23

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Solution

The fourth proportional to 25,794.63, 38,697.63 and 8,266.23 is: 12,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.63 : 38,697.63 = 8,266.23 : x
  2. Step 2: Convert to fraction form
    25,794.63/38,697.63 = 8,266.23/x
  3. Step 3: Cross multiply
    25,794.63x = 38,697.63 × 8,266.23
  4. Step 4: Simplify right side
    25,794.63x = 319,883,510.03
  5. Step 5: Solve for x
    x = 319,883,510.03/25,794.63
  6. Step 6: Final answer
    x = 12,401.17

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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.