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Finding the Fourth Proportional to 21,237.76, 29,309.52 and 14,176

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Solution

The fourth proportional to 21,237.76, 29,309.52 and 14,176 is: 19,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.76 : 29,309.52 = 14,176 : x
  2. Step 2: Convert to fraction form
    21,237.76/29,309.52 = 14,176/x
  3. Step 3: Cross multiply
    21,237.76x = 29,309.52 × 14,176
  4. Step 4: Simplify right side
    21,237.76x = 415,491,755.52
  5. Step 5: Solve for x
    x = 415,491,755.52/21,237.76
  6. Step 6: Final answer
    x = 19,563.82

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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.