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Finding the Fourth Proportional to 27,348.09, 41,023.04 and 7,624.98

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Solution

The fourth proportional to 27,348.09, 41,023.04 and 7,624.98 is: 11,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.09 : 41,023.04 = 7,624.98 : x
  2. Step 2: Convert to fraction form
    27,348.09/41,023.04 = 7,624.98/x
  3. Step 3: Cross multiply
    27,348.09x = 41,023.04 × 7,624.98
  4. Step 4: Simplify right side
    27,348.09x = 312,799,821.41
  5. Step 5: Solve for x
    x = 312,799,821.41/27,348.09
  6. Step 6: Final answer
    x = 11,437.72

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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.