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Finding the Fourth Proportional to 12,367.12, 18,551.76 and 5,440

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Solution

The fourth proportional to 12,367.12, 18,551.76 and 5,440 is: 8,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.12 : 18,551.76 = 5,440 : x
  2. Step 2: Convert to fraction form
    12,367.12/18,551.76 = 5,440/x
  3. Step 3: Cross multiply
    12,367.12x = 18,551.76 × 5,440
  4. Step 4: Simplify right side
    12,367.12x = 100,921,574.40
  5. Step 5: Solve for x
    x = 100,921,574.40/12,367.12
  6. Step 6: Final answer
    x = 8,160.48

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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.