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Finding the Fourth Proportional to 26,453, 36,506.94 and 15,275

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Solution

The fourth proportional to 26,453, 36,506.94 and 15,275 is: 21,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,453 : 36,506.94 = 15,275 : x
  2. Step 2: Convert to fraction form
    26,453/36,506.94 = 15,275/x
  3. Step 3: Cross multiply
    26,453x = 36,506.94 × 15,275
  4. Step 4: Simplify right side
    26,453x = 557,643,508.50
  5. Step 5: Solve for x
    x = 557,643,508.50/26,453
  6. Step 6: Final answer
    x = 21,080.54

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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.