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Finding the Fourth Proportional to 13,785.93, 19,027.96 and 7,821.09

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Solution

The fourth proportional to 13,785.93, 19,027.96 and 7,821.09 is: 10,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.93 : 19,027.96 = 7,821.09 : x
  2. Step 2: Convert to fraction form
    13,785.93/19,027.96 = 7,821.09/x
  3. Step 3: Cross multiply
    13,785.93x = 19,027.96 × 7,821.09
  4. Step 4: Simplify right side
    13,785.93x = 148,819,412.12
  5. Step 5: Solve for x
    x = 148,819,412.12/13,785.93
  6. Step 6: Final answer
    x = 10,795.02

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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.