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Finding the Fourth Proportional to 21,256.66, 31,883.91 and 6,465.25

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Solution

The fourth proportional to 21,256.66, 31,883.91 and 6,465.25 is: 9,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.66 : 31,883.91 = 6,465.25 : x
  2. Step 2: Convert to fraction form
    21,256.66/31,883.91 = 6,465.25/x
  3. Step 3: Cross multiply
    21,256.66x = 31,883.91 × 6,465.25
  4. Step 4: Simplify right side
    21,256.66x = 206,137,449.13
  5. Step 5: Solve for x
    x = 206,137,449.13/21,256.66
  6. Step 6: Final answer
    x = 9,697.55

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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.