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Finding the Fourth Proportional to 26,823.98, 40,222.47 and 9,289.10

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Solution

The fourth proportional to 26,823.98, 40,222.47 and 9,289.10 is: 13,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.98 : 40,222.47 = 9,289.10 : x
  2. Step 2: Convert to fraction form
    26,823.98/40,222.47 = 9,289.10/x
  3. Step 3: Cross multiply
    26,823.98x = 40,222.47 × 9,289.10
  4. Step 4: Simplify right side
    26,823.98x = 373,630,546.08
  5. Step 5: Solve for x
    x = 373,630,546.08/26,823.98
  6. Step 6: Final answer
    x = 13,928.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.