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Finding the Fourth Proportional to 15,813.86, 21,820.49 and 9,443.03

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Solution

The fourth proportional to 15,813.86, 21,820.49 and 9,443.03 is: 13,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.86 : 21,820.49 = 9,443.03 : x
  2. Step 2: Convert to fraction form
    15,813.86/21,820.49 = 9,443.03/x
  3. Step 3: Cross multiply
    15,813.86x = 21,820.49 × 9,443.03
  4. Step 4: Simplify right side
    15,813.86x = 206,051,541.68
  5. Step 5: Solve for x
    x = 206,051,541.68/15,813.86
  6. Step 6: Final answer
    x = 13,029.81

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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.