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Finding the Fourth Proportional to 13,284, 19,926 and 4,518.72

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Solution

The fourth proportional to 13,284, 19,926 and 4,518.72 is: 6,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 19,926 = 4,518.72 : x
  2. Step 2: Convert to fraction form
    13,284/19,926 = 4,518.72/x
  3. Step 3: Cross multiply
    13,284x = 19,926 × 4,518.72
  4. Step 4: Simplify right side
    13,284x = 90,040,014.72
  5. Step 5: Solve for x
    x = 90,040,014.72/13,284
  6. Step 6: Final answer
    x = 6,778.08

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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.