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Finding the Fourth Proportional to 12,703.16, 19,052.58 and 3,467

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Solution

The fourth proportional to 12,703.16, 19,052.58 and 3,467 is: 5,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.16 : 19,052.58 = 3,467 : x
  2. Step 2: Convert to fraction form
    12,703.16/19,052.58 = 3,467/x
  3. Step 3: Cross multiply
    12,703.16x = 19,052.58 × 3,467
  4. Step 4: Simplify right side
    12,703.16x = 66,055,294.86
  5. Step 5: Solve for x
    x = 66,055,294.86/12,703.16
  6. Step 6: Final answer
    x = 5,199.91

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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.