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Finding the Fourth Proportional to 14,441, 21,658.24 and 4,574.90

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Solution

The fourth proportional to 14,441, 21,658.24 and 4,574.90 is: 6,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441 : 21,658.24 = 4,574.90 : x
  2. Step 2: Convert to fraction form
    14,441/21,658.24 = 4,574.90/x
  3. Step 3: Cross multiply
    14,441x = 21,658.24 × 4,574.90
  4. Step 4: Simplify right side
    14,441x = 99,084,282.18
  5. Step 5: Solve for x
    x = 99,084,282.18/14,441
  6. Step 6: Final answer
    x = 6,861.32

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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.