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Finding the Fourth Proportional to 13,980.50, 19,286.81 and 8,312.16

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Solution

The fourth proportional to 13,980.50, 19,286.81 and 8,312.16 is: 11,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.50 : 19,286.81 = 8,312.16 : x
  2. Step 2: Convert to fraction form
    13,980.50/19,286.81 = 8,312.16/x
  3. Step 3: Cross multiply
    13,980.50x = 19,286.81 × 8,312.16
  4. Step 4: Simplify right side
    13,980.50x = 160,315,098.83
  5. Step 5: Solve for x
    x = 160,315,098.83/13,980.50
  6. Step 6: Final answer
    x = 11,467.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.