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Finding the Fourth Proportional to 14,501.44, 21,743.76 and 7,738.68

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Solution

The fourth proportional to 14,501.44, 21,743.76 and 7,738.68 is: 11,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.44 : 21,743.76 = 7,738.68 : x
  2. Step 2: Convert to fraction form
    14,501.44/21,743.76 = 7,738.68/x
  3. Step 3: Cross multiply
    14,501.44x = 21,743.76 × 7,738.68
  4. Step 4: Simplify right side
    14,501.44x = 168,268,000.64
  5. Step 5: Solve for x
    x = 168,268,000.64/14,501.44
  6. Step 6: Final answer
    x = 11,603.54

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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.