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Finding the Fourth Proportional to 18,339.50, 25,308.54 and 9,956

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Solution

The fourth proportional to 18,339.50, 25,308.54 and 9,956 is: 13,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,339.50 : 25,308.54 = 9,956 : x
  2. Step 2: Convert to fraction form
    18,339.50/25,308.54 = 9,956/x
  3. Step 3: Cross multiply
    18,339.50x = 25,308.54 × 9,956
  4. Step 4: Simplify right side
    18,339.50x = 251,971,824.24
  5. Step 5: Solve for x
    x = 251,971,824.24/18,339.50
  6. Step 6: Final answer
    x = 13,739.30

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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.