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Finding the Fourth Proportional to 14,075.20, 21,137.10 and 7,514.20

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Solution

The fourth proportional to 14,075.20, 21,137.10 and 7,514.20 is: 11,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.20 : 21,137.10 = 7,514.20 : x
  2. Step 2: Convert to fraction form
    14,075.20/21,137.10 = 7,514.20/x
  3. Step 3: Cross multiply
    14,075.20x = 21,137.10 × 7,514.20
  4. Step 4: Simplify right side
    14,075.20x = 158,828,396.82
  5. Step 5: Solve for x
    x = 158,828,396.82/14,075.20
  6. Step 6: Final answer
    x = 11,284.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.