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Finding the Fourth Proportional to 19,687.66, 29,525.11 and 6,536.50

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Solution

The fourth proportional to 19,687.66, 29,525.11 and 6,536.50 is: 9,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.66 : 29,525.11 = 6,536.50 : x
  2. Step 2: Convert to fraction form
    19,687.66/29,525.11 = 6,536.50/x
  3. Step 3: Cross multiply
    19,687.66x = 29,525.11 × 6,536.50
  4. Step 4: Simplify right side
    19,687.66x = 192,990,881.52
  5. Step 5: Solve for x
    x = 192,990,881.52/19,687.66
  6. Step 6: Final answer
    x = 9,802.63

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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.