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Finding the Fourth Proportional to 18,645.09, 25,729.44 and 10,261.05

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Solution

The fourth proportional to 18,645.09, 25,729.44 and 10,261.05 is: 14,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.09 : 25,729.44 = 10,261.05 : x
  2. Step 2: Convert to fraction form
    18,645.09/25,729.44 = 10,261.05/x
  3. Step 3: Cross multiply
    18,645.09x = 25,729.44 × 10,261.05
  4. Step 4: Simplify right side
    18,645.09x = 264,011,070.31
  5. Step 5: Solve for x
    x = 264,011,070.31/18,645.09
  6. Step 6: Final answer
    x = 14,159.82

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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.