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Finding the Fourth Proportional to 21,509.69, 29,682.37 and 11,950.20

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Solution

The fourth proportional to 21,509.69, 29,682.37 and 11,950.20 is: 16,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.69 : 29,682.37 = 11,950.20 : x
  2. Step 2: Convert to fraction form
    21,509.69/29,682.37 = 11,950.20/x
  3. Step 3: Cross multiply
    21,509.69x = 29,682.37 × 11,950.20
  4. Step 4: Simplify right side
    21,509.69x = 354,710,306.52
  5. Step 5: Solve for x
    x = 354,710,306.52/21,509.69
  6. Step 6: Final answer
    x = 16,490.72

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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.