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Finding the Fourth Proportional to 14,186.63, 21,283.71 and 4,326

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Solution

The fourth proportional to 14,186.63, 21,283.71 and 4,326 is: 6,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.63 : 21,283.71 = 4,326 : x
  2. Step 2: Convert to fraction form
    14,186.63/21,283.71 = 4,326/x
  3. Step 3: Cross multiply
    14,186.63x = 21,283.71 × 4,326
  4. Step 4: Simplify right side
    14,186.63x = 92,073,329.46
  5. Step 5: Solve for x
    x = 92,073,329.46/14,186.63
  6. Step 6: Final answer
    x = 6,490.15

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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.