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Finding the Fourth Proportional to 13,789.50, 19,030.50 and 7,821.69

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Solution

The fourth proportional to 13,789.50, 19,030.50 and 7,821.69 is: 10,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.50 : 19,030.50 = 7,821.69 : x
  2. Step 2: Convert to fraction form
    13,789.50/19,030.50 = 7,821.69/x
  3. Step 3: Cross multiply
    13,789.50x = 19,030.50 × 7,821.69
  4. Step 4: Simplify right side
    13,789.50x = 148,850,671.55
  5. Step 5: Solve for x
    x = 148,850,671.55/13,789.50
  6. Step 6: Final answer
    x = 10,794.49

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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.