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Finding the Fourth Proportional to 14,230.49, 21,346.76 and 5,465.41

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Solution

The fourth proportional to 14,230.49, 21,346.76 and 5,465.41 is: 8,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.49 : 21,346.76 = 5,465.41 : x
  2. Step 2: Convert to fraction form
    14,230.49/21,346.76 = 5,465.41/x
  3. Step 3: Cross multiply
    14,230.49x = 21,346.76 × 5,465.41
  4. Step 4: Simplify right side
    14,230.49x = 116,668,715.84
  5. Step 5: Solve for x
    x = 116,668,715.84/14,230.49
  6. Step 6: Final answer
    x = 8,198.50

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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.