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Finding the Fourth Proportional to 13,378.78, 18,447.57 and 8,599.50

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Solution

The fourth proportional to 13,378.78, 18,447.57 and 8,599.50 is: 11,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.78 : 18,447.57 = 8,599.50 : x
  2. Step 2: Convert to fraction form
    13,378.78/18,447.57 = 8,599.50/x
  3. Step 3: Cross multiply
    13,378.78x = 18,447.57 × 8,599.50
  4. Step 4: Simplify right side
    13,378.78x = 158,639,980.23
  5. Step 5: Solve for x
    x = 158,639,980.23/13,378.78
  6. Step 6: Final answer
    x = 11,857.58

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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.