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Finding the Fourth Proportional to 13,697.75, 18,902.90 and 7,730.69

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Solution

The fourth proportional to 13,697.75, 18,902.90 and 7,730.69 is: 10,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.75 : 18,902.90 = 7,730.69 : x
  2. Step 2: Convert to fraction form
    13,697.75/18,902.90 = 7,730.69/x
  3. Step 3: Cross multiply
    13,697.75x = 18,902.90 × 7,730.69
  4. Step 4: Simplify right side
    13,697.75x = 146,132,384.81
  5. Step 5: Solve for x
    x = 146,132,384.81/13,697.75
  6. Step 6: Final answer
    x = 10,668.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.