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Finding the Fourth Proportional to 14,096.63, 19,448.51 and 8,042.52

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Solution

The fourth proportional to 14,096.63, 19,448.51 and 8,042.52 is: 11,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.63 : 19,448.51 = 8,042.52 : x
  2. Step 2: Convert to fraction form
    14,096.63/19,448.51 = 8,042.52/x
  3. Step 3: Cross multiply
    14,096.63x = 19,448.51 × 8,042.52
  4. Step 4: Simplify right side
    14,096.63x = 156,414,990.43
  5. Step 5: Solve for x
    x = 156,414,990.43/14,096.63
  6. Step 6: Final answer
    x = 11,095.92

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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.