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Finding the Fourth Proportional to 26,884.16, 40,267.92 and 13,004

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Solution

The fourth proportional to 26,884.16, 40,267.92 and 13,004 is: 19,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.16 : 40,267.92 = 13,004 : x
  2. Step 2: Convert to fraction form
    26,884.16/40,267.92 = 13,004/x
  3. Step 3: Cross multiply
    26,884.16x = 40,267.92 × 13,004
  4. Step 4: Simplify right side
    26,884.16x = 523,644,031.68
  5. Step 5: Solve for x
    x = 523,644,031.68/26,884.16
  6. Step 6: Final answer
    x = 19,477.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.