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Finding the Fourth Proportional to 12,364.40, 18,566.40 and 11,454.80

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Solution

The fourth proportional to 12,364.40, 18,566.40 and 11,454.80 is: 17,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.40 : 18,566.40 = 11,454.80 : x
  2. Step 2: Convert to fraction form
    12,364.40/18,566.40 = 11,454.80/x
  3. Step 3: Cross multiply
    12,364.40x = 18,566.40 × 11,454.80
  4. Step 4: Simplify right side
    12,364.40x = 212,674,398.72
  5. Step 5: Solve for x
    x = 212,674,398.72/12,364.40
  6. Step 6: Final answer
    x = 17,200.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.