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Finding the Fourth Proportional to 23,677.56, 35,507.04 and 8,878.41

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Solution

The fourth proportional to 23,677.56, 35,507.04 and 8,878.41 is: 13,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.56 : 35,507.04 = 8,878.41 : x
  2. Step 2: Convert to fraction form
    23,677.56/35,507.04 = 8,878.41/x
  3. Step 3: Cross multiply
    23,677.56x = 35,507.04 × 8,878.41
  4. Step 4: Simplify right side
    23,677.56x = 315,246,059.01
  5. Step 5: Solve for x
    x = 315,246,059.01/23,677.56
  6. Step 6: Final answer
    x = 13,314.13

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Why These Related Problems?

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