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Finding the Fourth Proportional to 21,268.70, 31,903.45 and 9,259.64

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Solution

The fourth proportional to 21,268.70, 31,903.45 and 9,259.64 is: 13,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268.70 : 31,903.45 = 9,259.64 : x
  2. Step 2: Convert to fraction form
    21,268.70/31,903.45 = 9,259.64/x
  3. Step 3: Cross multiply
    21,268.70x = 31,903.45 × 9,259.64
  4. Step 4: Simplify right side
    21,268.70x = 295,414,461.76
  5. Step 5: Solve for x
    x = 295,414,461.76/21,268.70
  6. Step 6: Final answer
    x = 13,889.63

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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.