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Finding the Fourth Proportional to 13,219.84, 19,829.31 and 5,319.91

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Solution

The fourth proportional to 13,219.84, 19,829.31 and 5,319.91 is: 7,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.84 : 19,829.31 = 5,319.91 : x
  2. Step 2: Convert to fraction form
    13,219.84/19,829.31 = 5,319.91/x
  3. Step 3: Cross multiply
    13,219.84x = 19,829.31 × 5,319.91
  4. Step 4: Simplify right side
    13,219.84x = 105,490,149.40
  5. Step 5: Solve for x
    x = 105,490,149.40/13,219.84
  6. Step 6: Final answer
    x = 7,979.68

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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.