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Finding the Fourth Proportional to 12,138.10, 16,749.43 and 8,953.13

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Solution

The fourth proportional to 12,138.10, 16,749.43 and 8,953.13 is: 12,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.10 : 16,749.43 = 8,953.13 : x
  2. Step 2: Convert to fraction form
    12,138.10/16,749.43 = 8,953.13/x
  3. Step 3: Cross multiply
    12,138.10x = 16,749.43 × 8,953.13
  4. Step 4: Simplify right side
    12,138.10x = 149,959,843.71
  5. Step 5: Solve for x
    x = 149,959,843.71/12,138.10
  6. Step 6: Final answer
    x = 12,354.48

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