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Finding the Fourth Proportional to 27,004.76, 40,505.70 and 9,476.36

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Solution

The fourth proportional to 27,004.76, 40,505.70 and 9,476.36 is: 14,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.76 : 40,505.70 = 9,476.36 : x
  2. Step 2: Convert to fraction form
    27,004.76/40,505.70 = 9,476.36/x
  3. Step 3: Cross multiply
    27,004.76x = 40,505.70 × 9,476.36
  4. Step 4: Simplify right side
    27,004.76x = 383,846,595.25
  5. Step 5: Solve for x
    x = 383,846,595.25/27,004.76
  6. Step 6: Final answer
    x = 14,214.03

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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.