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Finding the Fourth Proportional to 13,078.31, 18,048.17 and 7,109.98

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Solution

The fourth proportional to 13,078.31, 18,048.17 and 7,109.98 is: 9,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.31 : 18,048.17 = 7,109.98 : x
  2. Step 2: Convert to fraction form
    13,078.31/18,048.17 = 7,109.98/x
  3. Step 3: Cross multiply
    13,078.31x = 18,048.17 × 7,109.98
  4. Step 4: Simplify right side
    13,078.31x = 128,322,127.74
  5. Step 5: Solve for x
    x = 128,322,127.74/13,078.31
  6. Step 6: Final answer
    x = 9,811.83

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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.