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Finding the Fourth Proportional to 14,166.96, 19,548.70 and 8,200.50

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Solution

The fourth proportional to 14,166.96, 19,548.70 and 8,200.50 is: 11,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.96 : 19,548.70 = 8,200.50 : x
  2. Step 2: Convert to fraction form
    14,166.96/19,548.70 = 8,200.50/x
  3. Step 3: Cross multiply
    14,166.96x = 19,548.70 × 8,200.50
  4. Step 4: Simplify right side
    14,166.96x = 160,309,114.35
  5. Step 5: Solve for x
    x = 160,309,114.35/14,166.96
  6. Step 6: Final answer
    x = 11,315.70

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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.