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Finding the Fourth Proportional to 13,795.79, 19,036.86 and 7,744.64

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Solution

The fourth proportional to 13,795.79, 19,036.86 and 7,744.64 is: 10,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.79 : 19,036.86 = 7,744.64 : x
  2. Step 2: Convert to fraction form
    13,795.79/19,036.86 = 7,744.64/x
  3. Step 3: Cross multiply
    13,795.79x = 19,036.86 × 7,744.64
  4. Step 4: Simplify right side
    13,795.79x = 147,433,532.25
  5. Step 5: Solve for x
    x = 147,433,532.25/13,795.79
  6. Step 6: Final answer
    x = 10,686.85

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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.