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Finding the Fourth Proportional to 17,447.64, 24,077.51 and 9,489.86

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Solution

The fourth proportional to 17,447.64, 24,077.51 and 9,489.86 is: 13,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.64 : 24,077.51 = 9,489.86 : x
  2. Step 2: Convert to fraction form
    17,447.64/24,077.51 = 9,489.86/x
  3. Step 3: Cross multiply
    17,447.64x = 24,077.51 × 9,489.86
  4. Step 4: Simplify right side
    17,447.64x = 228,492,199.05
  5. Step 5: Solve for x
    x = 228,492,199.05/17,447.64
  6. Step 6: Final answer
    x = 13,095.88

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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.