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Finding the Fourth Proportional to 14,369.50, 19,823.48 and 8,398.54

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Solution

The fourth proportional to 14,369.50, 19,823.48 and 8,398.54 is: 11,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.50 : 19,823.48 = 8,398.54 : x
  2. Step 2: Convert to fraction form
    14,369.50/19,823.48 = 8,398.54/x
  3. Step 3: Cross multiply
    14,369.50x = 19,823.48 × 8,398.54
  4. Step 4: Simplify right side
    14,369.50x = 166,488,239.74
  5. Step 5: Solve for x
    x = 166,488,239.74/14,369.50
  6. Step 6: Final answer
    x = 11,586.22

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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.