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Finding the Fourth Proportional to 21,888.33, 32,835.74 and 8,036.25

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Solution

The fourth proportional to 21,888.33, 32,835.74 and 8,036.25 is: 12,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.33 : 32,835.74 = 8,036.25 : x
  2. Step 2: Convert to fraction form
    21,888.33/32,835.74 = 8,036.25/x
  3. Step 3: Cross multiply
    21,888.33x = 32,835.74 × 8,036.25
  4. Step 4: Simplify right side
    21,888.33x = 263,876,215.58
  5. Step 5: Solve for x
    x = 263,876,215.58/21,888.33
  6. Step 6: Final answer
    x = 12,055.57

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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.