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Finding the Fourth Proportional to 14,468.45, 21,668.65 and 7,049.66

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Solution

The fourth proportional to 14,468.45, 21,668.65 and 7,049.66 is: 10,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468.45 : 21,668.65 = 7,049.66 : x
  2. Step 2: Convert to fraction form
    14,468.45/21,668.65 = 7,049.66/x
  3. Step 3: Cross multiply
    14,468.45x = 21,668.65 × 7,049.66
  4. Step 4: Simplify right side
    14,468.45x = 152,756,489.19
  5. Step 5: Solve for x
    x = 152,756,489.19/14,468.45
  6. Step 6: Final answer
    x = 10,557.91

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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.