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Finding the Fourth Proportional to 14,447.86, 21,674.82 and 8,210.76

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Solution

The fourth proportional to 14,447.86, 21,674.82 and 8,210.76 is: 12,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.86 : 21,674.82 = 8,210.76 : x
  2. Step 2: Convert to fraction form
    14,447.86/21,674.82 = 8,210.76/x
  3. Step 3: Cross multiply
    14,447.86x = 21,674.82 × 8,210.76
  4. Step 4: Simplify right side
    14,447.86x = 177,966,745.06
  5. Step 5: Solve for x
    x = 177,966,745.06/14,447.86
  6. Step 6: Final answer
    x = 12,317.86

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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.