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Finding the Fourth Proportional to 17,759.56, 24,611.80 and 17,509

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Solution

The fourth proportional to 17,759.56, 24,611.80 and 17,509 is: 24,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.56 : 24,611.80 = 17,509 : x
  2. Step 2: Convert to fraction form
    17,759.56/24,611.80 = 17,509/x
  3. Step 3: Cross multiply
    17,759.56x = 24,611.80 × 17,509
  4. Step 4: Simplify right side
    17,759.56x = 430,928,006.20
  5. Step 5: Solve for x
    x = 430,928,006.20/17,759.56
  6. Step 6: Final answer
    x = 24,264.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.