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Finding the Fourth Proportional to 12,546.70, 18,829.46 and 4,656.49

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Solution

The fourth proportional to 12,546.70, 18,829.46 and 4,656.49 is: 6,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.70 : 18,829.46 = 4,656.49 : x
  2. Step 2: Convert to fraction form
    12,546.70/18,829.46 = 4,656.49/x
  3. Step 3: Cross multiply
    12,546.70x = 18,829.46 × 4,656.49
  4. Step 4: Simplify right side
    12,546.70x = 87,679,156.76
  5. Step 5: Solve for x
    x = 87,679,156.76/12,546.70
  6. Step 6: Final answer
    x = 6,988.23

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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.