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Finding the Fourth Proportional to 13,984.50, 19,298.67 and 7,697.46

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Solution

The fourth proportional to 13,984.50, 19,298.67 and 7,697.46 is: 10,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.50 : 19,298.67 = 7,697.46 : x
  2. Step 2: Convert to fraction form
    13,984.50/19,298.67 = 7,697.46/x
  3. Step 3: Cross multiply
    13,984.50x = 19,298.67 × 7,697.46
  4. Step 4: Simplify right side
    13,984.50x = 148,550,740.38
  5. Step 5: Solve for x
    x = 148,550,740.38/13,984.50
  6. Step 6: Final answer
    x = 10,622.53

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Why These Related Problems?

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