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Finding the Fourth Proportional to 15,734.84, 21,714.54 and 8,661.76

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Solution

The fourth proportional to 15,734.84, 21,714.54 and 8,661.76 is: 11,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.84 : 21,714.54 = 8,661.76 : x
  2. Step 2: Convert to fraction form
    15,734.84/21,714.54 = 8,661.76/x
  3. Step 3: Cross multiply
    15,734.84x = 21,714.54 × 8,661.76
  4. Step 4: Simplify right side
    15,734.84x = 188,086,133.99
  5. Step 5: Solve for x
    x = 188,086,133.99/15,734.84
  6. Step 6: Final answer
    x = 11,953.48

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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.