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Finding the Fourth Proportional to 18,582.50, 27,881.94 and 7,510.82

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Solution

The fourth proportional to 18,582.50, 27,881.94 and 7,510.82 is: 11,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.50 : 27,881.94 = 7,510.82 : x
  2. Step 2: Convert to fraction form
    18,582.50/27,881.94 = 7,510.82/x
  3. Step 3: Cross multiply
    18,582.50x = 27,881.94 × 7,510.82
  4. Step 4: Simplify right side
    18,582.50x = 209,416,093.18
  5. Step 5: Solve for x
    x = 209,416,093.18/18,582.50
  6. Step 6: Final answer
    x = 11,269.54

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Why These Related Problems?

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