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Finding the Fourth Proportional to 13,505.81, 18,632.80 and 8,461.25

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Solution

The fourth proportional to 13,505.81, 18,632.80 and 8,461.25 is: 11,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.81 : 18,632.80 = 8,461.25 : x
  2. Step 2: Convert to fraction form
    13,505.81/18,632.80 = 8,461.25/x
  3. Step 3: Cross multiply
    13,505.81x = 18,632.80 × 8,461.25
  4. Step 4: Simplify right side
    13,505.81x = 157,656,779
  5. Step 5: Solve for x
    x = 157,656,779/13,505.81
  6. Step 6: Final answer
    x = 11,673.26

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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.