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Finding the Fourth Proportional to 26,756.72, 40,138.32 and 12,896

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Solution

The fourth proportional to 26,756.72, 40,138.32 and 12,896 is: 19,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,756.72 : 40,138.32 = 12,896 : x
  2. Step 2: Convert to fraction form
    26,756.72/40,138.32 = 12,896/x
  3. Step 3: Cross multiply
    26,756.72x = 40,138.32 × 12,896
  4. Step 4: Simplify right side
    26,756.72x = 517,623,774.72
  5. Step 5: Solve for x
    x = 517,623,774.72/26,756.72
  6. Step 6: Final answer
    x = 19,345.56

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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.