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Finding the Fourth Proportional to 13,773.85, 19,007.54 and 7,806.07

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Solution

The fourth proportional to 13,773.85, 19,007.54 and 7,806.07 is: 10,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.85 : 19,007.54 = 7,806.07 : x
  2. Step 2: Convert to fraction form
    13,773.85/19,007.54 = 7,806.07/x
  3. Step 3: Cross multiply
    13,773.85x = 19,007.54 × 7,806.07
  4. Step 4: Simplify right side
    13,773.85x = 148,374,179.82
  5. Step 5: Solve for x
    x = 148,374,179.82/13,773.85
  6. Step 6: Final answer
    x = 10,772.17

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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.