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Finding the Fourth Proportional to 14,441.50, 21,658.92 and 4,578.94

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Solution

The fourth proportional to 14,441.50, 21,658.92 and 4,578.94 is: 6,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.50 : 21,658.92 = 4,578.94 : x
  2. Step 2: Convert to fraction form
    14,441.50/21,658.92 = 4,578.94/x
  3. Step 3: Cross multiply
    14,441.50x = 21,658.92 × 4,578.94
  4. Step 4: Simplify right side
    14,441.50x = 99,174,895.14
  5. Step 5: Solve for x
    x = 99,174,895.14/14,441.50
  6. Step 6: Final answer
    x = 6,867.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.