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Finding the Fourth Proportional to 16,716, 25,075.22 and 6,327.75

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Solution

The fourth proportional to 16,716, 25,075.22 and 6,327.75 is: 9,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 25,075.22 = 6,327.75 : x
  2. Step 2: Convert to fraction form
    16,716/25,075.22 = 6,327.75/x
  3. Step 3: Cross multiply
    16,716x = 25,075.22 × 6,327.75
  4. Step 4: Simplify right side
    16,716x = 158,669,691.72
  5. Step 5: Solve for x
    x = 158,669,691.72/16,716
  6. Step 6: Final answer
    x = 9,492.08

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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.