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Finding the Fourth Proportional to 12,691.20, 19,041.12 and 11,464.32

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Solution

The fourth proportional to 12,691.20, 19,041.12 and 11,464.32 is: 17,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.20 : 19,041.12 = 11,464.32 : x
  2. Step 2: Convert to fraction form
    12,691.20/19,041.12 = 11,464.32/x
  3. Step 3: Cross multiply
    12,691.20x = 19,041.12 × 11,464.32
  4. Step 4: Simplify right side
    12,691.20x = 218,293,492.84
  5. Step 5: Solve for x
    x = 218,293,492.84/12,691.20
  6. Step 6: Final answer
    x = 17,200.38

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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.