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Finding the Fourth Proportional to 26,047.78, 35,945.90 and 14,111.16

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Solution

The fourth proportional to 26,047.78, 35,945.90 and 14,111.16 is: 19,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,047.78 : 35,945.90 = 14,111.16 : x
  2. Step 2: Convert to fraction form
    26,047.78/35,945.90 = 14,111.16/x
  3. Step 3: Cross multiply
    26,047.78x = 35,945.90 × 14,111.16
  4. Step 4: Simplify right side
    26,047.78x = 507,238,346.24
  5. Step 5: Solve for x
    x = 507,238,346.24/26,047.78
  6. Step 6: Final answer
    x = 19,473.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.