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Finding the Fourth Proportional to 12,289.64, 18,432.63 and 4,496.63

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Solution

The fourth proportional to 12,289.64, 18,432.63 and 4,496.63 is: 6,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.64 : 18,432.63 = 4,496.63 : x
  2. Step 2: Convert to fraction form
    12,289.64/18,432.63 = 4,496.63/x
  3. Step 3: Cross multiply
    12,289.64x = 18,432.63 × 4,496.63
  4. Step 4: Simplify right side
    12,289.64x = 82,884,624.87
  5. Step 5: Solve for x
    x = 82,884,624.87/12,289.64
  6. Step 6: Final answer
    x = 6,744.27

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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.