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Finding the Fourth Proportional to 12,072.51, 18,097.92 and 5,838.50

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Solution

The fourth proportional to 12,072.51, 18,097.92 and 5,838.50 is: 8,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.51 : 18,097.92 = 5,838.50 : x
  2. Step 2: Convert to fraction form
    12,072.51/18,097.92 = 5,838.50/x
  3. Step 3: Cross multiply
    12,072.51x = 18,097.92 × 5,838.50
  4. Step 4: Simplify right side
    12,072.51x = 105,664,751.16
  5. Step 5: Solve for x
    x = 105,664,751.16/12,072.51
  6. Step 6: Final answer
    x = 8,752.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.