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Finding the Fourth Proportional to 14,090.36, 19,445.47 and 8,042.39

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Solution

The fourth proportional to 14,090.36, 19,445.47 and 8,042.39 is: 11,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.36 : 19,445.47 = 8,042.39 : x
  2. Step 2: Convert to fraction form
    14,090.36/19,445.47 = 8,042.39/x
  3. Step 3: Cross multiply
    14,090.36x = 19,445.47 × 8,042.39
  4. Step 4: Simplify right side
    14,090.36x = 156,388,009.06
  5. Step 5: Solve for x
    x = 156,388,009.06/14,090.36
  6. Step 6: Final answer
    x = 11,098.94

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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.