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Finding the Fourth Proportional to 14,147.72, 19,524.61 and 8,483.39

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Solution

The fourth proportional to 14,147.72, 19,524.61 and 8,483.39 is: 11,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.72 : 19,524.61 = 8,483.39 : x
  2. Step 2: Convert to fraction form
    14,147.72/19,524.61 = 8,483.39/x
  3. Step 3: Cross multiply
    14,147.72x = 19,524.61 × 8,483.39
  4. Step 4: Simplify right side
    14,147.72x = 165,634,881.23
  5. Step 5: Solve for x
    x = 165,634,881.23/14,147.72
  6. Step 6: Final answer
    x = 11,707.53

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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.