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Finding the Fourth Proportional to 13,212.90, 19,815.84 and 4,446

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Solution

The fourth proportional to 13,212.90, 19,815.84 and 4,446 is: 6,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.90 : 19,815.84 = 4,446 : x
  2. Step 2: Convert to fraction form
    13,212.90/19,815.84 = 4,446/x
  3. Step 3: Cross multiply
    13,212.90x = 19,815.84 × 4,446
  4. Step 4: Simplify right side
    13,212.90x = 88,101,224.64
  5. Step 5: Solve for x
    x = 88,101,224.64/13,212.90
  6. Step 6: Final answer
    x = 6,667.82

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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.