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Finding the Fourth Proportional to 21,256.68, 31,884.75 and 9,561.63

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Solution

The fourth proportional to 21,256.68, 31,884.75 and 9,561.63 is: 14,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.68 : 31,884.75 = 9,561.63 : x
  2. Step 2: Convert to fraction form
    21,256.68/31,884.75 = 9,561.63/x
  3. Step 3: Cross multiply
    21,256.68x = 31,884.75 × 9,561.63
  4. Step 4: Simplify right side
    21,256.68x = 304,870,182.14
  5. Step 5: Solve for x
    x = 304,870,182.14/21,256.68
  6. Step 6: Final answer
    x = 14,342.32

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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.