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Finding the Fourth Proportional to 16,179, 24,266.88 and 11,805

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Solution

The fourth proportional to 16,179, 24,266.88 and 11,805 is: 17,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179 : 24,266.88 = 11,805 : x
  2. Step 2: Convert to fraction form
    16,179/24,266.88 = 11,805/x
  3. Step 3: Cross multiply
    16,179x = 24,266.88 × 11,805
  4. Step 4: Simplify right side
    16,179x = 286,470,518.40
  5. Step 5: Solve for x
    x = 286,470,518.40/16,179
  6. Step 6: Final answer
    x = 17,706.32

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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.