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Finding the Fourth Proportional to 13,977, 19,288.26 and 7,689.60

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Solution

The fourth proportional to 13,977, 19,288.26 and 7,689.60 is: 10,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977 : 19,288.26 = 7,689.60 : x
  2. Step 2: Convert to fraction form
    13,977/19,288.26 = 7,689.60/x
  3. Step 3: Cross multiply
    13,977x = 19,288.26 × 7,689.60
  4. Step 4: Simplify right side
    13,977x = 148,319,004.10
  5. Step 5: Solve for x
    x = 148,319,004.10/13,977
  6. Step 6: Final answer
    x = 10,611.65

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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.