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Finding the Fourth Proportional to 12,154.12, 18,229.64 and 4,763.77

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Solution

The fourth proportional to 12,154.12, 18,229.64 and 4,763.77 is: 7,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.12 : 18,229.64 = 4,763.77 : x
  2. Step 2: Convert to fraction form
    12,154.12/18,229.64 = 4,763.77/x
  3. Step 3: Cross multiply
    12,154.12x = 18,229.64 × 4,763.77
  4. Step 4: Simplify right side
    12,154.12x = 86,841,742.75
  5. Step 5: Solve for x
    x = 86,841,742.75/12,154.12
  6. Step 6: Final answer
    x = 7,145.05

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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.