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Finding the Fourth Proportional to 27,009.10, 40,513.65 and 9,477.10

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Solution

The fourth proportional to 27,009.10, 40,513.65 and 9,477.10 is: 14,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.10 : 40,513.65 = 9,477.10 : x
  2. Step 2: Convert to fraction form
    27,009.10/40,513.65 = 9,477.10/x
  3. Step 3: Cross multiply
    27,009.10x = 40,513.65 × 9,477.10
  4. Step 4: Simplify right side
    27,009.10x = 383,951,912.42
  5. Step 5: Solve for x
    x = 383,951,912.42/27,009.10
  6. Step 6: Final answer
    x = 14,215.65

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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.