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Finding the Fourth Proportional to 27,070, 40,605.24 and 10,654

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Solution

The fourth proportional to 27,070, 40,605.24 and 10,654 is: 15,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070 : 40,605.24 = 10,654 : x
  2. Step 2: Convert to fraction form
    27,070/40,605.24 = 10,654/x
  3. Step 3: Cross multiply
    27,070x = 40,605.24 × 10,654
  4. Step 4: Simplify right side
    27,070x = 432,608,226.96
  5. Step 5: Solve for x
    x = 432,608,226.96/27,070
  6. Step 6: Final answer
    x = 15,981.09

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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.