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Finding the Fourth Proportional to 27,730, 41,619.96 and 18,823.76

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Solution

The fourth proportional to 27,730, 41,619.96 and 18,823.76 is: 28,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 41,619.96 = 18,823.76 : x
  2. Step 2: Convert to fraction form
    27,730/41,619.96 = 18,823.76/x
  3. Step 3: Cross multiply
    27,730x = 41,619.96 × 18,823.76
  4. Step 4: Simplify right side
    27,730x = 783,444,138.25
  5. Step 5: Solve for x
    x = 783,444,138.25/27,730
  6. Step 6: Final answer
    x = 28,252.58

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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.