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Finding the Fourth Proportional to 14,951.95, 20,634 and 8,237.86

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Solution

The fourth proportional to 14,951.95, 20,634 and 8,237.86 is: 11,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.95 : 20,634 = 8,237.86 : x
  2. Step 2: Convert to fraction form
    14,951.95/20,634 = 8,237.86/x
  3. Step 3: Cross multiply
    14,951.95x = 20,634 × 8,237.86
  4. Step 4: Simplify right side
    14,951.95x = 169,980,003.24
  5. Step 5: Solve for x
    x = 169,980,003.24/14,951.95
  6. Step 6: Final answer
    x = 11,368.42

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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.