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Finding the Fourth Proportional to 19,075.82, 26,324.16 and 10,577.98

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Solution

The fourth proportional to 19,075.82, 26,324.16 and 10,577.98 is: 14,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.82 : 26,324.16 = 10,577.98 : x
  2. Step 2: Convert to fraction form
    19,075.82/26,324.16 = 10,577.98/x
  3. Step 3: Cross multiply
    19,075.82x = 26,324.16 × 10,577.98
  4. Step 4: Simplify right side
    19,075.82x = 278,456,306.38
  5. Step 5: Solve for x
    x = 278,456,306.38/19,075.82
  6. Step 6: Final answer
    x = 14,597.34

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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.