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Finding the Fourth Proportional to 22,525.97, 31,089.69 and 13,100.00

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Solution

The fourth proportional to 22,525.97, 31,089.69 and 13,100.00 is: 18,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.97 : 31,089.69 = 13,100.00 : x
  2. Step 2: Convert to fraction form
    22,525.97/31,089.69 = 13,100.00/x
  3. Step 3: Cross multiply
    22,525.97x = 31,089.69 × 13,100.00
  4. Step 4: Simplify right side
    22,525.97x = 407,274,783.55
  5. Step 5: Solve for x
    x = 407,274,783.55/22,525.97
  6. Step 6: Final answer
    x = 18,080.24

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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.