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Finding the Fourth Proportional to 14,266.56, 19,684.68 and 8,959.44

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Solution

The fourth proportional to 14,266.56, 19,684.68 and 8,959.44 is: 12,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.56 : 19,684.68 = 8,959.44 : x
  2. Step 2: Convert to fraction form
    14,266.56/19,684.68 = 8,959.44/x
  3. Step 3: Cross multiply
    14,266.56x = 19,684.68 × 8,959.44
  4. Step 4: Simplify right side
    14,266.56x = 176,363,709.38
  5. Step 5: Solve for x
    x = 176,363,709.38/14,266.56
  6. Step 6: Final answer
    x = 12,362.03

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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.