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Finding the Fourth Proportional to 19,782.24, 29,663.84 and 6,625.41

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Solution

The fourth proportional to 19,782.24, 29,663.84 and 6,625.41 is: 9,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.24 : 29,663.84 = 6,625.41 : x
  2. Step 2: Convert to fraction form
    19,782.24/29,663.84 = 6,625.41/x
  3. Step 3: Cross multiply
    19,782.24x = 29,663.84 × 6,625.41
  4. Step 4: Simplify right side
    19,782.24x = 196,535,118.74
  5. Step 5: Solve for x
    x = 196,535,118.74/19,782.24
  6. Step 6: Final answer
    x = 9,934.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.