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Finding the Fourth Proportional to 21,866.51, 32,796.24 and 7,823.93

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Solution

The fourth proportional to 21,866.51, 32,796.24 and 7,823.93 is: 11,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.51 : 32,796.24 = 7,823.93 : x
  2. Step 2: Convert to fraction form
    21,866.51/32,796.24 = 7,823.93/x
  3. Step 3: Cross multiply
    21,866.51x = 32,796.24 × 7,823.93
  4. Step 4: Simplify right side
    21,866.51x = 256,595,322.04
  5. Step 5: Solve for x
    x = 256,595,322.04/21,866.51
  6. Step 6: Final answer
    x = 11,734.63

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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.