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Finding the Fourth Proportional to 16,068, 22,173.76 and 8,994.45

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Solution

The fourth proportional to 16,068, 22,173.76 and 8,994.45 is: 12,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068 : 22,173.76 = 8,994.45 : x
  2. Step 2: Convert to fraction form
    16,068/22,173.76 = 8,994.45/x
  3. Step 3: Cross multiply
    16,068x = 22,173.76 × 8,994.45
  4. Step 4: Simplify right side
    16,068x = 199,440,775.63
  5. Step 5: Solve for x
    x = 199,440,775.63/16,068
  6. Step 6: Final answer
    x = 12,412.30

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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.