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Finding the Fourth Proportional to 13,073, 19,609.50 and 3,345

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Solution

The fourth proportional to 13,073, 19,609.50 and 3,345 is: 5,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073 : 19,609.50 = 3,345 : x
  2. Step 2: Convert to fraction form
    13,073/19,609.50 = 3,345/x
  3. Step 3: Cross multiply
    13,073x = 19,609.50 × 3,345
  4. Step 4: Simplify right side
    13,073x = 65,593,777.50
  5. Step 5: Solve for x
    x = 65,593,777.50/13,073
  6. Step 6: Final answer
    x = 5,017.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.