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Finding the Fourth Proportional to 13,852.94, 20,788.50 and 5,087.93

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Solution

The fourth proportional to 13,852.94, 20,788.50 and 5,087.93 is: 7,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.94 : 20,788.50 = 5,087.93 : x
  2. Step 2: Convert to fraction form
    13,852.94/20,788.50 = 5,087.93/x
  3. Step 3: Cross multiply
    13,852.94x = 20,788.50 × 5,087.93
  4. Step 4: Simplify right side
    13,852.94x = 105,770,328.86
  5. Step 5: Solve for x
    x = 105,770,328.86/13,852.94
  6. Step 6: Final answer
    x = 7,635.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.