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Finding the Fourth Proportional to 23,657.70, 32,646.13 and 13,579.05

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Solution

The fourth proportional to 23,657.70, 32,646.13 and 13,579.05 is: 18,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.70 : 32,646.13 = 13,579.05 : x
  2. Step 2: Convert to fraction form
    23,657.70/32,646.13 = 13,579.05/x
  3. Step 3: Cross multiply
    23,657.70x = 32,646.13 × 13,579.05
  4. Step 4: Simplify right side
    23,657.70x = 443,303,431.58
  5. Step 5: Solve for x
    x = 443,303,431.58/23,657.70
  6. Step 6: Final answer
    x = 18,738.23

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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.