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Finding the Fourth Proportional to 18,678.94, 25,778.55 and 10,297.06

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Solution

The fourth proportional to 18,678.94, 25,778.55 and 10,297.06 is: 14,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.94 : 25,778.55 = 10,297.06 : x
  2. Step 2: Convert to fraction form
    18,678.94/25,778.55 = 10,297.06/x
  3. Step 3: Cross multiply
    18,678.94x = 25,778.55 × 10,297.06
  4. Step 4: Simplify right side
    18,678.94x = 265,443,250.23
  5. Step 5: Solve for x
    x = 265,443,250.23/18,678.94
  6. Step 6: Final answer
    x = 14,210.83

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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.