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Finding the Fourth Proportional to 19,833.88, 29,750.93 and 6,686.37

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Solution

The fourth proportional to 19,833.88, 29,750.93 and 6,686.37 is: 10,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.88 : 29,750.93 = 6,686.37 : x
  2. Step 2: Convert to fraction form
    19,833.88/29,750.93 = 6,686.37/x
  3. Step 3: Cross multiply
    19,833.88x = 29,750.93 × 6,686.37
  4. Step 4: Simplify right side
    19,833.88x = 198,925,725.82
  5. Step 5: Solve for x
    x = 198,925,725.82/19,833.88
  6. Step 6: Final answer
    x = 10,029.59

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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.