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Finding the Fourth Proportional to 13,783.83, 19,021.82 and 8,193.75

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Solution

The fourth proportional to 13,783.83, 19,021.82 and 8,193.75 is: 11,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.83 : 19,021.82 = 8,193.75 : x
  2. Step 2: Convert to fraction form
    13,783.83/19,021.82 = 8,193.75/x
  3. Step 3: Cross multiply
    13,783.83x = 19,021.82 × 8,193.75
  4. Step 4: Simplify right side
    13,783.83x = 155,859,996.66
  5. Step 5: Solve for x
    x = 155,859,996.66/13,783.83
  6. Step 6: Final answer
    x = 11,307.45

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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.