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Finding the Fourth Proportional to 13,785.23, 19,027.95 and 7,820.87

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Solution

The fourth proportional to 13,785.23, 19,027.95 and 7,820.87 is: 10,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.23 : 19,027.95 = 7,820.87 : x
  2. Step 2: Convert to fraction form
    13,785.23/19,027.95 = 7,820.87/x
  3. Step 3: Cross multiply
    13,785.23x = 19,027.95 × 7,820.87
  4. Step 4: Simplify right side
    13,785.23x = 148,815,028.18
  5. Step 5: Solve for x
    x = 148,815,028.18/13,785.23
  6. Step 6: Final answer
    x = 10,795.25

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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.