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Finding the Fourth Proportional to 16,736, 23,095.68 and 9,284.16

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Solution

The fourth proportional to 16,736, 23,095.68 and 9,284.16 is: 12,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736 : 23,095.68 = 9,284.16 : x
  2. Step 2: Convert to fraction form
    16,736/23,095.68 = 9,284.16/x
  3. Step 3: Cross multiply
    16,736x = 23,095.68 × 9,284.16
  4. Step 4: Simplify right side
    16,736x = 214,423,988.43
  5. Step 5: Solve for x
    x = 214,423,988.43/16,736
  6. Step 6: Final answer
    x = 12,812.14

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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.