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Finding the Fourth Proportional to 14,596.13, 20,142.68 and 8,308.50

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Solution

The fourth proportional to 14,596.13, 20,142.68 and 8,308.50 is: 11,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.13 : 20,142.68 = 8,308.50 : x
  2. Step 2: Convert to fraction form
    14,596.13/20,142.68 = 8,308.50/x
  3. Step 3: Cross multiply
    14,596.13x = 20,142.68 × 8,308.50
  4. Step 4: Simplify right side
    14,596.13x = 167,355,415.24
  5. Step 5: Solve for x
    x = 167,355,415.24/14,596.13
  6. Step 6: Final answer
    x = 11,465.74

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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.