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Finding the Fourth Proportional to 27,200.56, 40,776.23 and 9,666.28

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Solution

The fourth proportional to 27,200.56, 40,776.23 and 9,666.28 is: 14,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.56 : 40,776.23 = 9,666.28 : x
  2. Step 2: Convert to fraction form
    27,200.56/40,776.23 = 9,666.28/x
  3. Step 3: Cross multiply
    27,200.56x = 40,776.23 × 9,666.28
  4. Step 4: Simplify right side
    27,200.56x = 394,154,408.19
  5. Step 5: Solve for x
    x = 394,154,408.19/27,200.56
  6. Step 6: Final answer
    x = 14,490.68

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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.