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Finding the Fourth Proportional to 18,642.66, 25,727.13 and 10,259.34

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Solution

The fourth proportional to 18,642.66, 25,727.13 and 10,259.34 is: 14,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.66 : 25,727.13 = 10,259.34 : x
  2. Step 2: Convert to fraction form
    18,642.66/25,727.13 = 10,259.34/x
  3. Step 3: Cross multiply
    18,642.66x = 25,727.13 × 10,259.34
  4. Step 4: Simplify right side
    18,642.66x = 263,943,373.89
  5. Step 5: Solve for x
    x = 263,943,373.89/18,642.66
  6. Step 6: Final answer
    x = 14,158.03

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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.