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Finding the Fourth Proportional to 13,314.34, 18,378.09 and 8,594.98

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Solution

The fourth proportional to 13,314.34, 18,378.09 and 8,594.98 is: 11,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.34 : 18,378.09 = 8,594.98 : x
  2. Step 2: Convert to fraction form
    13,314.34/18,378.09 = 8,594.98/x
  3. Step 3: Cross multiply
    13,314.34x = 18,378.09 × 8,594.98
  4. Step 4: Simplify right side
    13,314.34x = 157,959,315.99
  5. Step 5: Solve for x
    x = 157,959,315.99/13,314.34
  6. Step 6: Final answer
    x = 11,863.85

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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.