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Finding the Fourth Proportional to 13,407.38, 18,495.75 and 9,816.68

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Solution

The fourth proportional to 13,407.38, 18,495.75 and 9,816.68 is: 13,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.38 : 18,495.75 = 9,816.68 : x
  2. Step 2: Convert to fraction form
    13,407.38/18,495.75 = 9,816.68/x
  3. Step 3: Cross multiply
    13,407.38x = 18,495.75 × 9,816.68
  4. Step 4: Simplify right side
    13,407.38x = 181,566,859.11
  5. Step 5: Solve for x
    x = 181,566,859.11/13,407.38
  6. Step 6: Final answer
    x = 13,542.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.