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Finding the Fourth Proportional to 14,415.50, 21,623.27 and 3,471.50

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Solution

The fourth proportional to 14,415.50, 21,623.27 and 3,471.50 is: 5,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.50 : 21,623.27 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    14,415.50/21,623.27 = 3,471.50/x
  3. Step 3: Cross multiply
    14,415.50x = 21,623.27 × 3,471.50
  4. Step 4: Simplify right side
    14,415.50x = 75,065,181.81
  5. Step 5: Solve for x
    x = 75,065,181.81/14,415.50
  6. Step 6: Final answer
    x = 5,207.25

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Why These Related Problems?

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