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Finding the Fourth Proportional to 13,004.48, 17,941.32 and 8,530.71

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Solution

The fourth proportional to 13,004.48, 17,941.32 and 8,530.71 is: 11,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.48 : 17,941.32 = 8,530.71 : x
  2. Step 2: Convert to fraction form
    13,004.48/17,941.32 = 8,530.71/x
  3. Step 3: Cross multiply
    13,004.48x = 17,941.32 × 8,530.71
  4. Step 4: Simplify right side
    13,004.48x = 153,052,197.94
  5. Step 5: Solve for x
    x = 153,052,197.94/13,004.48
  6. Step 6: Final answer
    x = 11,769.19

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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.