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Finding the Fourth Proportional to 13,594.27, 20,358.60 and 7,733.11

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Solution

The fourth proportional to 13,594.27, 20,358.60 and 7,733.11 is: 11,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.27 : 20,358.60 = 7,733.11 : x
  2. Step 2: Convert to fraction form
    13,594.27/20,358.60 = 7,733.11/x
  3. Step 3: Cross multiply
    13,594.27x = 20,358.60 × 7,733.11
  4. Step 4: Simplify right side
    13,594.27x = 157,435,293.25
  5. Step 5: Solve for x
    x = 157,435,293.25/13,594.27
  6. Step 6: Final answer
    x = 11,581.00

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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.