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Finding the Fourth Proportional to 14,075.40, 19,422.14 and 8,026.42

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Solution

The fourth proportional to 14,075.40, 19,422.14 and 8,026.42 is: 11,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.40 : 19,422.14 = 8,026.42 : x
  2. Step 2: Convert to fraction form
    14,075.40/19,422.14 = 8,026.42/x
  3. Step 3: Cross multiply
    14,075.40x = 19,422.14 × 8,026.42
  4. Step 4: Simplify right side
    14,075.40x = 155,890,252.94
  5. Step 5: Solve for x
    x = 155,890,252.94/14,075.40
  6. Step 6: Final answer
    x = 11,075.37

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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.