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Finding the Fourth Proportional to 14,406.58, 21,612.82 and 8,169.38

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Solution

The fourth proportional to 14,406.58, 21,612.82 and 8,169.38 is: 12,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.58 : 21,612.82 = 8,169.38 : x
  2. Step 2: Convert to fraction form
    14,406.58/21,612.82 = 8,169.38/x
  3. Step 3: Cross multiply
    14,406.58x = 21,612.82 × 8,169.38
  4. Step 4: Simplify right side
    14,406.58x = 176,563,339.45
  5. Step 5: Solve for x
    x = 176,563,339.45/14,406.58
  6. Step 6: Final answer
    x = 12,255.74

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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.