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Finding the Fourth Proportional to 19,759.74, 29,637.45 and 5,905.50

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Solution

The fourth proportional to 19,759.74, 29,637.45 and 5,905.50 is: 8,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.74 : 29,637.45 = 5,905.50 : x
  2. Step 2: Convert to fraction form
    19,759.74/29,637.45 = 5,905.50/x
  3. Step 3: Cross multiply
    19,759.74x = 29,637.45 × 5,905.50
  4. Step 4: Simplify right side
    19,759.74x = 175,023,960.98
  5. Step 5: Solve for x
    x = 175,023,960.98/19,759.74
  6. Step 6: Final answer
    x = 8,857.60

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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.