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Finding the Fourth Proportional to 21,093.43, 31,689.35 and 12,334.50

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Solution

The fourth proportional to 21,093.43, 31,689.35 and 12,334.50 is: 18,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.43 : 31,689.35 = 12,334.50 : x
  2. Step 2: Convert to fraction form
    21,093.43/31,689.35 = 12,334.50/x
  3. Step 3: Cross multiply
    21,093.43x = 31,689.35 × 12,334.50
  4. Step 4: Simplify right side
    21,093.43x = 390,872,287.58
  5. Step 5: Solve for x
    x = 390,872,287.58/21,093.43
  6. Step 6: Final answer
    x = 18,530.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.