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Finding the Fourth Proportional to 14,951.69, 20,633.06 and 8,237.94

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Solution

The fourth proportional to 14,951.69, 20,633.06 and 8,237.94 is: 11,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.69 : 20,633.06 = 8,237.94 : x
  2. Step 2: Convert to fraction form
    14,951.69/20,633.06 = 8,237.94/x
  3. Step 3: Cross multiply
    14,951.69x = 20,633.06 × 8,237.94
  4. Step 4: Simplify right side
    14,951.69x = 169,973,853.52
  5. Step 5: Solve for x
    x = 169,973,853.52/14,951.69
  6. Step 6: Final answer
    x = 11,368.20

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