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Finding the Fourth Proportional to 13,042.35, 17,998.41 and 7,074

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Solution

The fourth proportional to 13,042.35, 17,998.41 and 7,074 is: 9,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.35 : 17,998.41 = 7,074 : x
  2. Step 2: Convert to fraction form
    13,042.35/17,998.41 = 7,074/x
  3. Step 3: Cross multiply
    13,042.35x = 17,998.41 × 7,074
  4. Step 4: Simplify right side
    13,042.35x = 127,320,752.34
  5. Step 5: Solve for x
    x = 127,320,752.34/13,042.35
  6. Step 6: Final answer
    x = 9,762.10

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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.