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Finding the Fourth Proportional to 14,906.42, 20,566.37 and 8,935.91

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Solution

The fourth proportional to 14,906.42, 20,566.37 and 8,935.91 is: 12,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.42 : 20,566.37 = 8,935.91 : x
  2. Step 2: Convert to fraction form
    14,906.42/20,566.37 = 8,935.91/x
  3. Step 3: Cross multiply
    14,906.42x = 20,566.37 × 8,935.91
  4. Step 4: Simplify right side
    14,906.42x = 183,779,227.98
  5. Step 5: Solve for x
    x = 183,779,227.98/14,906.42
  6. Step 6: Final answer
    x = 12,328.87

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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.