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Finding the Fourth Proportional to 19,707.96, 29,536.27 and 8,007.50

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Solution

The fourth proportional to 19,707.96, 29,536.27 and 8,007.50 is: 12,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.96 : 29,536.27 = 8,007.50 : x
  2. Step 2: Convert to fraction form
    19,707.96/29,536.27 = 8,007.50/x
  3. Step 3: Cross multiply
    19,707.96x = 29,536.27 × 8,007.50
  4. Step 4: Simplify right side
    19,707.96x = 236,511,682.03
  5. Step 5: Solve for x
    x = 236,511,682.03/19,707.96
  6. Step 6: Final answer
    x = 12,000.82

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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.