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Finding the Fourth Proportional to 21,730.71, 29,989.04 and 12,170.57

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Solution

The fourth proportional to 21,730.71, 29,989.04 and 12,170.57 is: 16,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.71 : 29,989.04 = 12,170.57 : x
  2. Step 2: Convert to fraction form
    21,730.71/29,989.04 = 12,170.57/x
  3. Step 3: Cross multiply
    21,730.71x = 29,989.04 × 12,170.57
  4. Step 4: Simplify right side
    21,730.71x = 364,983,815.95
  5. Step 5: Solve for x
    x = 364,983,815.95/21,730.71
  6. Step 6: Final answer
    x = 16,795.76

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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.