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Finding the Fourth Proportional to 19,967, 29,951.94 and 7,655

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Solution

The fourth proportional to 19,967, 29,951.94 and 7,655 is: 11,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967 : 29,951.94 = 7,655 : x
  2. Step 2: Convert to fraction form
    19,967/29,951.94 = 7,655/x
  3. Step 3: Cross multiply
    19,967x = 29,951.94 × 7,655
  4. Step 4: Simplify right side
    19,967x = 229,282,100.70
  5. Step 5: Solve for x
    x = 229,282,100.70/19,967
  6. Step 6: Final answer
    x = 11,483.05

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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.