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Finding the Fourth Proportional to 13,802.85, 20,688.08 and 6,391.67

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Solution

The fourth proportional to 13,802.85, 20,688.08 and 6,391.67 is: 9,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.85 : 20,688.08 = 6,391.67 : x
  2. Step 2: Convert to fraction form
    13,802.85/20,688.08 = 6,391.67/x
  3. Step 3: Cross multiply
    13,802.85x = 20,688.08 × 6,391.67
  4. Step 4: Simplify right side
    13,802.85x = 132,231,244.89
  5. Step 5: Solve for x
    x = 132,231,244.89/13,802.85
  6. Step 6: Final answer
    x = 9,580.00

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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.