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Finding the Fourth Proportional to 13,447.28, 18,559.54 and 7,785.50

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Solution

The fourth proportional to 13,447.28, 18,559.54 and 7,785.50 is: 10,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.28 : 18,559.54 = 7,785.50 : x
  2. Step 2: Convert to fraction form
    13,447.28/18,559.54 = 7,785.50/x
  3. Step 3: Cross multiply
    13,447.28x = 18,559.54 × 7,785.50
  4. Step 4: Simplify right side
    13,447.28x = 144,495,298.67
  5. Step 5: Solve for x
    x = 144,495,298.67/13,447.28
  6. Step 6: Final answer
    x = 10,745.32

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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.