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Finding the Fourth Proportional to 21,106.50, 31,659.78 and 7,255.50

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Solution

The fourth proportional to 21,106.50, 31,659.78 and 7,255.50 is: 10,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.50 : 31,659.78 = 7,255.50 : x
  2. Step 2: Convert to fraction form
    21,106.50/31,659.78 = 7,255.50/x
  3. Step 3: Cross multiply
    21,106.50x = 31,659.78 × 7,255.50
  4. Step 4: Simplify right side
    21,106.50x = 229,707,533.79
  5. Step 5: Solve for x
    x = 229,707,533.79/21,106.50
  6. Step 6: Final answer
    x = 10,883.26

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