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Finding the Fourth Proportional to 22,588.25, 31,186.41 and 14,525.54

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Solution

The fourth proportional to 22,588.25, 31,186.41 and 14,525.54 is: 20,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.25 : 31,186.41 = 14,525.54 : x
  2. Step 2: Convert to fraction form
    22,588.25/31,186.41 = 14,525.54/x
  3. Step 3: Cross multiply
    22,588.25x = 31,186.41 × 14,525.54
  4. Step 4: Simplify right side
    22,588.25x = 452,999,445.91
  5. Step 5: Solve for x
    x = 452,999,445.91/22,588.25
  6. Step 6: Final answer
    x = 20,054.65

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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.