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Finding the Fourth Proportional to 13,229.84, 19,829.64 and 5,429

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Solution

The fourth proportional to 13,229.84, 19,829.64 and 5,429 is: 8,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.84 : 19,829.64 = 5,429 : x
  2. Step 2: Convert to fraction form
    13,229.84/19,829.64 = 5,429/x
  3. Step 3: Cross multiply
    13,229.84x = 19,829.64 × 5,429
  4. Step 4: Simplify right side
    13,229.84x = 107,655,115.56
  5. Step 5: Solve for x
    x = 107,655,115.56/13,229.84
  6. Step 6: Final answer
    x = 8,137.30

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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.