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Finding the Fourth Proportional to 16,735.17, 23,095.22 and 10,019.46

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Solution

The fourth proportional to 16,735.17, 23,095.22 and 10,019.46 is: 13,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.17 : 23,095.22 = 10,019.46 : x
  2. Step 2: Convert to fraction form
    16,735.17/23,095.22 = 10,019.46/x
  3. Step 3: Cross multiply
    16,735.17x = 23,095.22 × 10,019.46
  4. Step 4: Simplify right side
    16,735.17x = 231,401,582.88
  5. Step 5: Solve for x
    x = 231,401,582.88/16,735.17
  6. Step 6: Final answer
    x = 13,827.26

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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.