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Finding the Fourth Proportional to 26,560.16, 39,832.32 and 9,026

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Solution

The fourth proportional to 26,560.16, 39,832.32 and 9,026 is: 13,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,560.16 : 39,832.32 = 9,026 : x
  2. Step 2: Convert to fraction form
    26,560.16/39,832.32 = 9,026/x
  3. Step 3: Cross multiply
    26,560.16x = 39,832.32 × 9,026
  4. Step 4: Simplify right side
    26,560.16x = 359,526,520.32
  5. Step 5: Solve for x
    x = 359,526,520.32/26,560.16
  6. Step 6: Final answer
    x = 13,536.31

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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.