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Finding the Fourth Proportional to 14,046.15, 21,075.36 and 8,202.78

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Solution

The fourth proportional to 14,046.15, 21,075.36 and 8,202.78 is: 12,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.15 : 21,075.36 = 8,202.78 : x
  2. Step 2: Convert to fraction form
    14,046.15/21,075.36 = 8,202.78/x
  3. Step 3: Cross multiply
    14,046.15x = 21,075.36 × 8,202.78
  4. Step 4: Simplify right side
    14,046.15x = 172,876,541.50
  5. Step 5: Solve for x
    x = 172,876,541.50/14,046.15
  6. Step 6: Final answer
    x = 12,307.75

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Why These Related Problems?

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