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Finding the Fourth Proportional to 17,441.64, 24,069.48 and 9,483.84

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Solution

The fourth proportional to 17,441.64, 24,069.48 and 9,483.84 is: 13,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.64 : 24,069.48 = 9,483.84 : x
  2. Step 2: Convert to fraction form
    17,441.64/24,069.48 = 9,483.84/x
  3. Step 3: Cross multiply
    17,441.64x = 24,069.48 × 9,483.84
  4. Step 4: Simplify right side
    17,441.64x = 228,271,097.20
  5. Step 5: Solve for x
    x = 228,271,097.20/17,441.64
  6. Step 6: Final answer
    x = 13,087.71

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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.