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Finding the Fourth Proportional to 16,838.22, 23,235.63 and 9,284.61

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Solution

The fourth proportional to 16,838.22, 23,235.63 and 9,284.61 is: 12,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.22 : 23,235.63 = 9,284.61 : x
  2. Step 2: Convert to fraction form
    16,838.22/23,235.63 = 9,284.61/x
  3. Step 3: Cross multiply
    16,838.22x = 23,235.63 × 9,284.61
  4. Step 4: Simplify right side
    16,838.22x = 215,733,762.65
  5. Step 5: Solve for x
    x = 215,733,762.65/16,838.22
  6. Step 6: Final answer
    x = 12,812.15

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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.