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Finding the Fourth Proportional to 14,157.25, 21,236.06 and 4,923.25

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Solution

The fourth proportional to 14,157.25, 21,236.06 and 4,923.25 is: 7,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.25 : 21,236.06 = 4,923.25 : x
  2. Step 2: Convert to fraction form
    14,157.25/21,236.06 = 4,923.25/x
  3. Step 3: Cross multiply
    14,157.25x = 21,236.06 × 4,923.25
  4. Step 4: Simplify right side
    14,157.25x = 104,550,407.78
  5. Step 5: Solve for x
    x = 104,550,407.78/14,157.25
  6. Step 6: Final answer
    x = 7,384.94

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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.