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Finding the Fourth Proportional to 14,075.34, 21,114.18 and 3,687

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Solution

The fourth proportional to 14,075.34, 21,114.18 and 3,687 is: 5,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.34 : 21,114.18 = 3,687 : x
  2. Step 2: Convert to fraction form
    14,075.34/21,114.18 = 3,687/x
  3. Step 3: Cross multiply
    14,075.34x = 21,114.18 × 3,687
  4. Step 4: Simplify right side
    14,075.34x = 77,847,981.66
  5. Step 5: Solve for x
    x = 77,847,981.66/14,075.34
  6. Step 6: Final answer
    x = 5,530.81

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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.