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Finding the Fourth Proportional to 25,755.84, 38,637.36 and 8,219.70

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Solution

The fourth proportional to 25,755.84, 38,637.36 and 8,219.70 is: 12,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.84 : 38,637.36 = 8,219.70 : x
  2. Step 2: Convert to fraction form
    25,755.84/38,637.36 = 8,219.70/x
  3. Step 3: Cross multiply
    25,755.84x = 38,637.36 × 8,219.70
  4. Step 4: Simplify right side
    25,755.84x = 317,587,507.99
  5. Step 5: Solve for x
    x = 317,587,507.99/25,755.84
  6. Step 6: Final answer
    x = 12,330.70

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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.