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Finding the Fourth Proportional to 13,870.49, 20,810.99 and 8,327.71

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Solution

The fourth proportional to 13,870.49, 20,810.99 and 8,327.71 is: 12,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.49 : 20,810.99 = 8,327.71 : x
  2. Step 2: Convert to fraction form
    13,870.49/20,810.99 = 8,327.71/x
  3. Step 3: Cross multiply
    13,870.49x = 20,810.99 × 8,327.71
  4. Step 4: Simplify right side
    13,870.49x = 173,307,858.32
  5. Step 5: Solve for x
    x = 173,307,858.32/13,870.49
  6. Step 6: Final answer
    x = 12,494.72

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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.