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Finding the Fourth Proportional to 13,594.32, 20,378.40 and 7,434

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Solution

The fourth proportional to 13,594.32, 20,378.40 and 7,434 is: 11,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.32 : 20,378.40 = 7,434 : x
  2. Step 2: Convert to fraction form
    13,594.32/20,378.40 = 7,434/x
  3. Step 3: Cross multiply
    13,594.32x = 20,378.40 × 7,434
  4. Step 4: Simplify right side
    13,594.32x = 151,493,025.60
  5. Step 5: Solve for x
    x = 151,493,025.60/13,594.32
  6. Step 6: Final answer
    x = 11,143.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.