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Finding the Fourth Proportional to 14,738.01, 20,338.02 and 8,023.48

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Solution

The fourth proportional to 14,738.01, 20,338.02 and 8,023.48 is: 11,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.01 : 20,338.02 = 8,023.48 : x
  2. Step 2: Convert to fraction form
    14,738.01/20,338.02 = 8,023.48/x
  3. Step 3: Cross multiply
    14,738.01x = 20,338.02 × 8,023.48
  4. Step 4: Simplify right side
    14,738.01x = 163,181,696.71
  5. Step 5: Solve for x
    x = 163,181,696.71/14,738.01
  6. Step 6: Final answer
    x = 11,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.