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Finding the Fourth Proportional to 12,226.25, 18,341.81 and 5,206.25

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Solution

The fourth proportional to 12,226.25, 18,341.81 and 5,206.25 is: 7,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.25 : 18,341.81 = 5,206.25 : x
  2. Step 2: Convert to fraction form
    12,226.25/18,341.81 = 5,206.25/x
  3. Step 3: Cross multiply
    12,226.25x = 18,341.81 × 5,206.25
  4. Step 4: Simplify right side
    12,226.25x = 95,492,048.31
  5. Step 5: Solve for x
    x = 95,492,048.31/12,226.25
  6. Step 6: Final answer
    x = 7,810.41

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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.