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Finding the Fourth Proportional to 13,675.84, 20,497.56 and 6,274.12

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Solution

The fourth proportional to 13,675.84, 20,497.56 and 6,274.12 is: 9,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.84 : 20,497.56 = 6,274.12 : x
  2. Step 2: Convert to fraction form
    13,675.84/20,497.56 = 6,274.12/x
  3. Step 3: Cross multiply
    13,675.84x = 20,497.56 × 6,274.12
  4. Step 4: Simplify right side
    13,675.84x = 128,604,151.15
  5. Step 5: Solve for x
    x = 128,604,151.15/13,675.84
  6. Step 6: Final answer
    x = 9,403.75

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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.