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Finding the Fourth Proportional to 16,684.17, 23,029.28 and 9,615.30

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Solution

The fourth proportional to 16,684.17, 23,029.28 and 9,615.30 is: 13,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.17 : 23,029.28 = 9,615.30 : x
  2. Step 2: Convert to fraction form
    16,684.17/23,029.28 = 9,615.30/x
  3. Step 3: Cross multiply
    16,684.17x = 23,029.28 × 9,615.30
  4. Step 4: Simplify right side
    16,684.17x = 221,433,435.98
  5. Step 5: Solve for x
    x = 221,433,435.98/16,684.17
  6. Step 6: Final answer
    x = 13,272.07

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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.