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Finding the Fourth Proportional to 16,838.52, 23,235.84 and 9,283.68

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Solution

The fourth proportional to 16,838.52, 23,235.84 and 9,283.68 is: 12,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.52 : 23,235.84 = 9,283.68 : x
  2. Step 2: Convert to fraction form
    16,838.52/23,235.84 = 9,283.68/x
  3. Step 3: Cross multiply
    16,838.52x = 23,235.84 × 9,283.68
  4. Step 4: Simplify right side
    16,838.52x = 215,714,103.09
  5. Step 5: Solve for x
    x = 215,714,103.09/16,838.52
  6. Step 6: Final answer
    x = 12,810.75

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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.