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Finding the Fourth Proportional to 23,221.72, 32,055.77 and 15,678.26

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Solution

The fourth proportional to 23,221.72, 32,055.77 and 15,678.26 is: 21,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.72 : 32,055.77 = 15,678.26 : x
  2. Step 2: Convert to fraction form
    23,221.72/32,055.77 = 15,678.26/x
  3. Step 3: Cross multiply
    23,221.72x = 32,055.77 × 15,678.26
  4. Step 4: Simplify right side
    23,221.72x = 502,578,696.56
  5. Step 5: Solve for x
    x = 502,578,696.56/23,221.72
  6. Step 6: Final answer
    x = 21,642.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.