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Finding the Fourth Proportional to 19,808.35, 29,707.02 and 7,962.10

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Solution

The fourth proportional to 19,808.35, 29,707.02 and 7,962.10 is: 11,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.35 : 29,707.02 = 7,962.10 : x
  2. Step 2: Convert to fraction form
    19,808.35/29,707.02 = 7,962.10/x
  3. Step 3: Cross multiply
    19,808.35x = 29,707.02 × 7,962.10
  4. Step 4: Simplify right side
    19,808.35x = 236,530,263.94
  5. Step 5: Solve for x
    x = 236,530,263.94/19,808.35
  6. Step 6: Final answer
    x = 11,940.94

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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.