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Finding the Fourth Proportional to 14,952, 20,640.24 and 9,366.24

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Solution

The fourth proportional to 14,952, 20,640.24 and 9,366.24 is: 12,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952 : 20,640.24 = 9,366.24 : x
  2. Step 2: Convert to fraction form
    14,952/20,640.24 = 9,366.24/x
  3. Step 3: Cross multiply
    14,952x = 20,640.24 × 9,366.24
  4. Step 4: Simplify right side
    14,952x = 193,321,441.50
  5. Step 5: Solve for x
    x = 193,321,441.50/14,952
  6. Step 6: Final answer
    x = 12,929.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.