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Finding the Fourth Proportional to 14,332.41, 19,780.74 and 8,367.30

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Solution

The fourth proportional to 14,332.41, 19,780.74 and 8,367.30 is: 11,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.41 : 19,780.74 = 8,367.30 : x
  2. Step 2: Convert to fraction form
    14,332.41/19,780.74 = 8,367.30/x
  3. Step 3: Cross multiply
    14,332.41x = 19,780.74 × 8,367.30
  4. Step 4: Simplify right side
    14,332.41x = 165,511,385.80
  5. Step 5: Solve for x
    x = 165,511,385.80/14,332.41
  6. Step 6: Final answer
    x = 11,548.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.