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Finding the Fourth Proportional to 13,707.75, 20,594.43 and 8,787

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Solution

The fourth proportional to 13,707.75, 20,594.43 and 8,787 is: 13,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.75 : 20,594.43 = 8,787 : x
  2. Step 2: Convert to fraction form
    13,707.75/20,594.43 = 8,787/x
  3. Step 3: Cross multiply
    13,707.75x = 20,594.43 × 8,787
  4. Step 4: Simplify right side
    13,707.75x = 180,963,256.41
  5. Step 5: Solve for x
    x = 180,963,256.41/13,707.75
  6. Step 6: Final answer
    x = 13,201.53

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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.