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Finding the Fourth Proportional to 14,742.50, 20,344.65 and 8,118.50

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Solution

The fourth proportional to 14,742.50, 20,344.65 and 8,118.50 is: 11,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.50 : 20,344.65 = 8,118.50 : x
  2. Step 2: Convert to fraction form
    14,742.50/20,344.65 = 8,118.50/x
  3. Step 3: Cross multiply
    14,742.50x = 20,344.65 × 8,118.50
  4. Step 4: Simplify right side
    14,742.50x = 165,168,041.03
  5. Step 5: Solve for x
    x = 165,168,041.03/14,742.50
  6. Step 6: Final answer
    x = 11,203.53

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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.