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Finding the Fourth Proportional to 19,880.84, 29,820.96 and 5,089.64

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Solution

The fourth proportional to 19,880.84, 29,820.96 and 5,089.64 is: 7,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.84 : 29,820.96 = 5,089.64 : x
  2. Step 2: Convert to fraction form
    19,880.84/29,820.96 = 5,089.64/x
  3. Step 3: Cross multiply
    19,880.84x = 29,820.96 × 5,089.64
  4. Step 4: Simplify right side
    19,880.84x = 151,777,801.75
  5. Step 5: Solve for x
    x = 151,777,801.75/19,880.84
  6. Step 6: Final answer
    x = 7,634.37

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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.