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Finding the Fourth Proportional to 13,682.34, 20,498.79 and 6,292.98

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Solution

The fourth proportional to 13,682.34, 20,498.79 and 6,292.98 is: 9,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.34 : 20,498.79 = 6,292.98 : x
  2. Step 2: Convert to fraction form
    13,682.34/20,498.79 = 6,292.98/x
  3. Step 3: Cross multiply
    13,682.34x = 20,498.79 × 6,292.98
  4. Step 4: Simplify right side
    13,682.34x = 128,998,475.49
  5. Step 5: Solve for x
    x = 128,998,475.49/13,682.34
  6. Step 6: Final answer
    x = 9,428.10

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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.