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Finding the Fourth Proportional to 26,199.54, 39,298.92 and 6,478.10

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Solution

The fourth proportional to 26,199.54, 39,298.92 and 6,478.10 is: 9,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,199.54 : 39,298.92 = 6,478.10 : x
  2. Step 2: Convert to fraction form
    26,199.54/39,298.92 = 6,478.10/x
  3. Step 3: Cross multiply
    26,199.54x = 39,298.92 × 6,478.10
  4. Step 4: Simplify right side
    26,199.54x = 254,582,333.65
  5. Step 5: Solve for x
    x = 254,582,333.65/26,199.54
  6. Step 6: Final answer
    x = 9,717.05

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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.