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Finding the Fourth Proportional to 21,851.59, 32,782.25 and 6,268

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Solution

The fourth proportional to 21,851.59, 32,782.25 and 6,268 is: 9,403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.59 : 32,782.25 = 6,268 : x
  2. Step 2: Convert to fraction form
    21,851.59/32,782.25 = 6,268/x
  3. Step 3: Cross multiply
    21,851.59x = 32,782.25 × 6,268
  4. Step 4: Simplify right side
    21,851.59x = 205,479,143
  5. Step 5: Solve for x
    x = 205,479,143/21,851.59
  6. Step 6: Final answer
    x = 9,403.40

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Why These Related Problems?

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