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Finding the Fourth Proportional to 13,313.16, 18,380.70 and 8,284.23

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Solution

The fourth proportional to 13,313.16, 18,380.70 and 8,284.23 is: 11,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.16 : 18,380.70 = 8,284.23 : x
  2. Step 2: Convert to fraction form
    13,313.16/18,380.70 = 8,284.23/x
  3. Step 3: Cross multiply
    13,313.16x = 18,380.70 × 8,284.23
  4. Step 4: Simplify right side
    13,313.16x = 152,269,946.36
  5. Step 5: Solve for x
    x = 152,269,946.36/13,313.16
  6. Step 6: Final answer
    x = 11,437.55

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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.