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Finding the Fourth Proportional to 16,329.96, 22,535.34 and 9,256.38

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Solution

The fourth proportional to 16,329.96, 22,535.34 and 9,256.38 is: 12,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.96 : 22,535.34 = 9,256.38 : x
  2. Step 2: Convert to fraction form
    16,329.96/22,535.34 = 9,256.38/x
  3. Step 3: Cross multiply
    16,329.96x = 22,535.34 × 9,256.38
  4. Step 4: Simplify right side
    16,329.96x = 208,595,670.47
  5. Step 5: Solve for x
    x = 208,595,670.47/16,329.96
  6. Step 6: Final answer
    x = 12,773.80

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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.