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Finding the Fourth Proportional to 26,048.16, 35,942.40 and 15,436.08

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Solution

The fourth proportional to 26,048.16, 35,942.40 and 15,436.08 is: 21,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048.16 : 35,942.40 = 15,436.08 : x
  2. Step 2: Convert to fraction form
    26,048.16/35,942.40 = 15,436.08/x
  3. Step 3: Cross multiply
    26,048.16x = 35,942.40 × 15,436.08
  4. Step 4: Simplify right side
    26,048.16x = 554,809,761.79
  5. Step 5: Solve for x
    x = 554,809,761.79/26,048.16
  6. Step 6: Final answer
    x = 21,299.38

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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.