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Finding the Fourth Proportional to 13,907.77, 20,863.75 and 4,045.75

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Solution

The fourth proportional to 13,907.77, 20,863.75 and 4,045.75 is: 6,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.77 : 20,863.75 = 4,045.75 : x
  2. Step 2: Convert to fraction form
    13,907.77/20,863.75 = 4,045.75/x
  3. Step 3: Cross multiply
    13,907.77x = 20,863.75 × 4,045.75
  4. Step 4: Simplify right side
    13,907.77x = 84,409,568.72
  5. Step 5: Solve for x
    x = 84,409,568.72/13,907.77
  6. Step 6: Final answer
    x = 6,069.24

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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.