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Finding the Fourth Proportional to 18,582.67, 27,882.24 and 7,510.99

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Solution

The fourth proportional to 18,582.67, 27,882.24 and 7,510.99 is: 11,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.67 : 27,882.24 = 7,510.99 : x
  2. Step 2: Convert to fraction form
    18,582.67/27,882.24 = 7,510.99/x
  3. Step 3: Cross multiply
    18,582.67x = 27,882.24 × 7,510.99
  4. Step 4: Simplify right side
    18,582.67x = 209,423,225.82
  5. Step 5: Solve for x
    x = 209,423,225.82/18,582.67
  6. Step 6: Final answer
    x = 11,269.81

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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.