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Finding the Fourth Proportional to 18,590.25, 27,882.54 and 7,494.06

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Solution

The fourth proportional to 18,590.25, 27,882.54 and 7,494.06 is: 11,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.25 : 27,882.54 = 7,494.06 : x
  2. Step 2: Convert to fraction form
    18,590.25/27,882.54 = 7,494.06/x
  3. Step 3: Cross multiply
    18,590.25x = 27,882.54 × 7,494.06
  4. Step 4: Simplify right side
    18,590.25x = 208,953,427.71
  5. Step 5: Solve for x
    x = 208,953,427.71/18,590.25
  6. Step 6: Final answer
    x = 11,239.95

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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.