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Finding the Fourth Proportional to 15,712.89, 21,684.16 and 8,543.22

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Solution

The fourth proportional to 15,712.89, 21,684.16 and 8,543.22 is: 11,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.89 : 21,684.16 = 8,543.22 : x
  2. Step 2: Convert to fraction form
    15,712.89/21,684.16 = 8,543.22/x
  3. Step 3: Cross multiply
    15,712.89x = 21,684.16 × 8,543.22
  4. Step 4: Simplify right side
    15,712.89x = 185,252,478.76
  5. Step 5: Solve for x
    x = 185,252,478.76/15,712.89
  6. Step 6: Final answer
    x = 11,789.84

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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.