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Finding the Fourth Proportional to 12,509.47, 18,770.66 and 5,494.40

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Solution

The fourth proportional to 12,509.47, 18,770.66 and 5,494.40 is: 8,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.47 : 18,770.66 = 5,494.40 : x
  2. Step 2: Convert to fraction form
    12,509.47/18,770.66 = 5,494.40/x
  3. Step 3: Cross multiply
    12,509.47x = 18,770.66 × 5,494.40
  4. Step 4: Simplify right side
    12,509.47x = 103,133,483.97
  5. Step 5: Solve for x
    x = 103,133,483.97/12,509.47
  6. Step 6: Final answer
    x = 8,244.43

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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.