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Finding the Fourth Proportional to 13,208.42, 19,675 and 12,507.20

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Solution

The fourth proportional to 13,208.42, 19,675 and 12,507.20 is: 18,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.42 : 19,675 = 12,507.20 : x
  2. Step 2: Convert to fraction form
    13,208.42/19,675 = 12,507.20/x
  3. Step 3: Cross multiply
    13,208.42x = 19,675 × 12,507.20
  4. Step 4: Simplify right side
    13,208.42x = 246,079,160
  5. Step 5: Solve for x
    x = 246,079,160/13,208.42
  6. Step 6: Final answer
    x = 18,630.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.