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Finding the Fourth Proportional to 14,534.52, 21,805 and 5,300.52

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Solution

The fourth proportional to 14,534.52, 21,805 and 5,300.52 is: 7,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.52 : 21,805 = 5,300.52 : x
  2. Step 2: Convert to fraction form
    14,534.52/21,805 = 5,300.52/x
  3. Step 3: Cross multiply
    14,534.52x = 21,805 × 5,300.52
  4. Step 4: Simplify right side
    14,534.52x = 115,577,838.60
  5. Step 5: Solve for x
    x = 115,577,838.60/14,534.52
  6. Step 6: Final answer
    x = 7,951.95

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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.