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Finding the Fourth Proportional to 19,454, 26,851.38 and 11,075.36

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Solution

The fourth proportional to 19,454, 26,851.38 and 11,075.36 is: 15,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454 : 26,851.38 = 11,075.36 : x
  2. Step 2: Convert to fraction form
    19,454/26,851.38 = 11,075.36/x
  3. Step 3: Cross multiply
    19,454x = 26,851.38 × 11,075.36
  4. Step 4: Simplify right side
    19,454x = 297,388,700.00
  5. Step 5: Solve for x
    x = 297,388,700.00/19,454
  6. Step 6: Final answer
    x = 15,286.76

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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.