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Finding the Fourth Proportional to 14,601.96, 20,143.68 and 9,564

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Solution

The fourth proportional to 14,601.96, 20,143.68 and 9,564 is: 13,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.96 : 20,143.68 = 9,564 : x
  2. Step 2: Convert to fraction form
    14,601.96/20,143.68 = 9,564/x
  3. Step 3: Cross multiply
    14,601.96x = 20,143.68 × 9,564
  4. Step 4: Simplify right side
    14,601.96x = 192,654,155.52
  5. Step 5: Solve for x
    x = 192,654,155.52/14,601.96
  6. Step 6: Final answer
    x = 13,193.72

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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.