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Finding the Fourth Proportional to 12,564.52, 18,842.46 and 4,775.56

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Solution

The fourth proportional to 12,564.52, 18,842.46 and 4,775.56 is: 7,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.52 : 18,842.46 = 4,775.56 : x
  2. Step 2: Convert to fraction form
    12,564.52/18,842.46 = 4,775.56/x
  3. Step 3: Cross multiply
    12,564.52x = 18,842.46 × 4,775.56
  4. Step 4: Simplify right side
    12,564.52x = 89,983,298.28
  5. Step 5: Solve for x
    x = 89,983,298.28/12,564.52
  6. Step 6: Final answer
    x = 7,161.70

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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.