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Finding the Fourth Proportional to 15,738.16, 21,711.72 and 9,757.84

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Solution

The fourth proportional to 15,738.16, 21,711.72 and 9,757.84 is: 13,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.16 : 21,711.72 = 9,757.84 : x
  2. Step 2: Convert to fraction form
    15,738.16/21,711.72 = 9,757.84/x
  3. Step 3: Cross multiply
    15,738.16x = 21,711.72 × 9,757.84
  4. Step 4: Simplify right side
    15,738.16x = 211,859,489.88
  5. Step 5: Solve for x
    x = 211,859,489.88/15,738.16
  6. Step 6: Final answer
    x = 13,461.52

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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.