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Finding the Fourth Proportional to 14,862.96, 22,245.84 and 8,272.80

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Solution

The fourth proportional to 14,862.96, 22,245.84 and 8,272.80 is: 12,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.96 : 22,245.84 = 8,272.80 : x
  2. Step 2: Convert to fraction form
    14,862.96/22,245.84 = 8,272.80/x
  3. Step 3: Cross multiply
    14,862.96x = 22,245.84 × 8,272.80
  4. Step 4: Simplify right side
    14,862.96x = 184,035,385.15
  5. Step 5: Solve for x
    x = 184,035,385.15/14,862.96
  6. Step 6: Final answer
    x = 12,382.15

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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.