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Finding the Fourth Proportional to 13,505.43, 18,632.29 and 8,460.86

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Solution

The fourth proportional to 13,505.43, 18,632.29 and 8,460.86 is: 11,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.43 : 18,632.29 = 8,460.86 : x
  2. Step 2: Convert to fraction form
    13,505.43/18,632.29 = 8,460.86/x
  3. Step 3: Cross multiply
    13,505.43x = 18,632.29 × 8,460.86
  4. Step 4: Simplify right side
    13,505.43x = 157,645,154.87
  5. Step 5: Solve for x
    x = 157,645,154.87/13,505.43
  6. Step 6: Final answer
    x = 11,672.72

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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.