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Finding the Fourth Proportional to 12,553.97, 18,829.76 and 4,656.50

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Solution

The fourth proportional to 12,553.97, 18,829.76 and 4,656.50 is: 6,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.97 : 18,829.76 = 4,656.50 : x
  2. Step 2: Convert to fraction form
    12,553.97/18,829.76 = 4,656.50/x
  3. Step 3: Cross multiply
    12,553.97x = 18,829.76 × 4,656.50
  4. Step 4: Simplify right side
    12,553.97x = 87,680,660.01
  5. Step 5: Solve for x
    x = 87,680,660.01/12,553.97
  6. Step 6: Final answer
    x = 6,984.30

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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.