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Finding the Fourth Proportional to 13,219.72, 19,829.98 and 3,359

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Solution

The fourth proportional to 13,219.72, 19,829.98 and 3,359 is: 5,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.72 : 19,829.98 = 3,359 : x
  2. Step 2: Convert to fraction form
    13,219.72/19,829.98 = 3,359/x
  3. Step 3: Cross multiply
    13,219.72x = 19,829.98 × 3,359
  4. Step 4: Simplify right side
    13,219.72x = 66,608,902.82
  5. Step 5: Solve for x
    x = 66,608,902.82/13,219.72
  6. Step 6: Final answer
    x = 5,038.60

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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.