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Finding the Fourth Proportional to 16,566, 22,861.08 and 9,114

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Solution

The fourth proportional to 16,566, 22,861.08 and 9,114 is: 12,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566 : 22,861.08 = 9,114 : x
  2. Step 2: Convert to fraction form
    16,566/22,861.08 = 9,114/x
  3. Step 3: Cross multiply
    16,566x = 22,861.08 × 9,114
  4. Step 4: Simplify right side
    16,566x = 208,355,883.12
  5. Step 5: Solve for x
    x = 208,355,883.12/16,566
  6. Step 6: Final answer
    x = 12,577.32

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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.