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Finding the Fourth Proportional to 15,734.89, 21,713.70 and 8,930.15

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Solution

The fourth proportional to 15,734.89, 21,713.70 and 8,930.15 is: 12,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.89 : 21,713.70 = 8,930.15 : x
  2. Step 2: Convert to fraction form
    15,734.89/21,713.70 = 8,930.15/x
  3. Step 3: Cross multiply
    15,734.89x = 21,713.70 × 8,930.15
  4. Step 4: Simplify right side
    15,734.89x = 193,906,598.06
  5. Step 5: Solve for x
    x = 193,906,598.06/15,734.89
  6. Step 6: Final answer
    x = 12,323.35

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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.