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Finding the Fourth Proportional to 13,711.40, 20,564.48 and 6,684.35

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Solution

The fourth proportional to 13,711.40, 20,564.48 and 6,684.35 is: 10,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.40 : 20,564.48 = 6,684.35 : x
  2. Step 2: Convert to fraction form
    13,711.40/20,564.48 = 6,684.35/x
  3. Step 3: Cross multiply
    13,711.40x = 20,564.48 × 6,684.35
  4. Step 4: Simplify right side
    13,711.40x = 137,460,095.78
  5. Step 5: Solve for x
    x = 137,460,095.78/13,711.40
  6. Step 6: Final answer
    x = 10,025.25

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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.