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Finding the Fourth Proportional to 21,509.46, 29,684.52 and 11,950.74

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Solution

The fourth proportional to 21,509.46, 29,684.52 and 11,950.74 is: 16,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.46 : 29,684.52 = 11,950.74 : x
  2. Step 2: Convert to fraction form
    21,509.46/29,684.52 = 11,950.74/x
  3. Step 3: Cross multiply
    21,509.46x = 29,684.52 × 11,950.74
  4. Step 4: Simplify right side
    21,509.46x = 354,751,980.54
  5. Step 5: Solve for x
    x = 354,751,980.54/21,509.46
  6. Step 6: Final answer
    x = 16,492.84

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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.