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Finding the Fourth Proportional to 16,653.85, 22,982.04 and 9,100.02

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Solution

The fourth proportional to 16,653.85, 22,982.04 and 9,100.02 is: 12,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653.85 : 22,982.04 = 9,100.02 : x
  2. Step 2: Convert to fraction form
    16,653.85/22,982.04 = 9,100.02/x
  3. Step 3: Cross multiply
    16,653.85x = 22,982.04 × 9,100.02
  4. Step 4: Simplify right side
    16,653.85x = 209,136,980.55
  5. Step 5: Solve for x
    x = 209,136,980.55/16,653.85
  6. Step 6: Final answer
    x = 12,557.87

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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.