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Finding the Fourth Proportional to 16,838.20, 23,235.78 and 9,386.20

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Solution

The fourth proportional to 16,838.20, 23,235.78 and 9,386.20 is: 12,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.20 : 23,235.78 = 9,386.20 : x
  2. Step 2: Convert to fraction form
    16,838.20/23,235.78 = 9,386.20/x
  3. Step 3: Cross multiply
    16,838.20x = 23,235.78 × 9,386.20
  4. Step 4: Simplify right side
    16,838.20x = 218,095,678.24
  5. Step 5: Solve for x
    x = 218,095,678.24/16,838.20
  6. Step 6: Final answer
    x = 12,952.43

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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.