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Finding the Fourth Proportional to 16,763.86, 23,133.09 and 9,689.14

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Solution

The fourth proportional to 16,763.86, 23,133.09 and 9,689.14 is: 13,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,763.86 : 23,133.09 = 9,689.14 : x
  2. Step 2: Convert to fraction form
    16,763.86/23,133.09 = 9,689.14/x
  3. Step 3: Cross multiply
    16,763.86x = 23,133.09 × 9,689.14
  4. Step 4: Simplify right side
    16,763.86x = 224,139,747.64
  5. Step 5: Solve for x
    x = 224,139,747.64/16,763.86
  6. Step 6: Final answer
    x = 13,370.41

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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.