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Finding the Fourth Proportional to 12,680.16, 19,018.02 and 3,444

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Solution

The fourth proportional to 12,680.16, 19,018.02 and 3,444 is: 5,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.16 : 19,018.02 = 3,444 : x
  2. Step 2: Convert to fraction form
    12,680.16/19,018.02 = 3,444/x
  3. Step 3: Cross multiply
    12,680.16x = 19,018.02 × 3,444
  4. Step 4: Simplify right side
    12,680.16x = 65,498,060.88
  5. Step 5: Solve for x
    x = 65,498,060.88/12,680.16
  6. Step 6: Final answer
    x = 5,165.40

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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.