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Finding the Fourth Proportional to 21,259.68, 31,889.20 and 9,564.64

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Solution

The fourth proportional to 21,259.68, 31,889.20 and 9,564.64 is: 14,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.68 : 31,889.20 = 9,564.64 : x
  2. Step 2: Convert to fraction form
    21,259.68/31,889.20 = 9,564.64/x
  3. Step 3: Cross multiply
    21,259.68x = 31,889.20 × 9,564.64
  4. Step 4: Simplify right side
    21,259.68x = 305,008,717.89
  5. Step 5: Solve for x
    x = 305,008,717.89/21,259.68
  6. Step 6: Final answer
    x = 14,346.82

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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.