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Finding the Fourth Proportional to 13,042.08, 18,000.36 and 7,740

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Solution

The fourth proportional to 13,042.08, 18,000.36 and 7,740 is: 10,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.08 : 18,000.36 = 7,740 : x
  2. Step 2: Convert to fraction form
    13,042.08/18,000.36 = 7,740/x
  3. Step 3: Cross multiply
    13,042.08x = 18,000.36 × 7,740
  4. Step 4: Simplify right side
    13,042.08x = 139,322,786.40
  5. Step 5: Solve for x
    x = 139,322,786.40/13,042.08
  6. Step 6: Final answer
    x = 10,682.56

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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.