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Finding the Fourth Proportional to 27,733.70, 41,622.42 and 12,935

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Solution

The fourth proportional to 27,733.70, 41,622.42 and 12,935 is: 19,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.70 : 41,622.42 = 12,935 : x
  2. Step 2: Convert to fraction form
    27,733.70/41,622.42 = 12,935/x
  3. Step 3: Cross multiply
    27,733.70x = 41,622.42 × 12,935
  4. Step 4: Simplify right side
    27,733.70x = 538,386,002.70
  5. Step 5: Solve for x
    x = 538,386,002.70/27,733.70
  6. Step 6: Final answer
    x = 19,412.70

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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.