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Finding the Fourth Proportional to 13,657.12, 18,847.19 and 7,689.01

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Solution

The fourth proportional to 13,657.12, 18,847.19 and 7,689.01 is: 10,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.12 : 18,847.19 = 7,689.01 : x
  2. Step 2: Convert to fraction form
    13,657.12/18,847.19 = 7,689.01/x
  3. Step 3: Cross multiply
    13,657.12x = 18,847.19 × 7,689.01
  4. Step 4: Simplify right side
    13,657.12x = 144,916,232.38
  5. Step 5: Solve for x
    x = 144,916,232.38/13,657.12
  6. Step 6: Final answer
    x = 10,611.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.