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Finding the Fourth Proportional to 13,814.25, 20,722.47 and 4,580.25

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Solution

The fourth proportional to 13,814.25, 20,722.47 and 4,580.25 is: 6,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.25 : 20,722.47 = 4,580.25 : x
  2. Step 2: Convert to fraction form
    13,814.25/20,722.47 = 4,580.25/x
  3. Step 3: Cross multiply
    13,814.25x = 20,722.47 × 4,580.25
  4. Step 4: Simplify right side
    13,814.25x = 94,914,093.22
  5. Step 5: Solve for x
    x = 94,914,093.22/13,814.25
  6. Step 6: Final answer
    x = 6,870.74

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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.