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Finding the Fourth Proportional to 13,789.35, 19,029.78 and 7,820.82

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Solution

The fourth proportional to 13,789.35, 19,029.78 and 7,820.82 is: 10,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.35 : 19,029.78 = 7,820.82 : x
  2. Step 2: Convert to fraction form
    13,789.35/19,029.78 = 7,820.82/x
  3. Step 3: Cross multiply
    13,789.35x = 19,029.78 × 7,820.82
  4. Step 4: Simplify right side
    13,789.35x = 148,828,484.02
  5. Step 5: Solve for x
    x = 148,828,484.02/13,789.35
  6. Step 6: Final answer
    x = 10,793.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.