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Finding the Fourth Proportional to 13,785.39, 19,023.56 and 7,817.11

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Solution

The fourth proportional to 13,785.39, 19,023.56 and 7,817.11 is: 10,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.39 : 19,023.56 = 7,817.11 : x
  2. Step 2: Convert to fraction form
    13,785.39/19,023.56 = 7,817.11/x
  3. Step 3: Cross multiply
    13,785.39x = 19,023.56 × 7,817.11
  4. Step 4: Simplify right side
    13,785.39x = 148,709,203.78
  5. Step 5: Solve for x
    x = 148,709,203.78/13,785.39
  6. Step 6: Final answer
    x = 10,787.45

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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.