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Finding the Fourth Proportional to 27,099.12, 40,661.64 and 9,577.20

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Solution

The fourth proportional to 27,099.12, 40,661.64 and 9,577.20 is: 14,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099.12 : 40,661.64 = 9,577.20 : x
  2. Step 2: Convert to fraction form
    27,099.12/40,661.64 = 9,577.20/x
  3. Step 3: Cross multiply
    27,099.12x = 40,661.64 × 9,577.20
  4. Step 4: Simplify right side
    27,099.12x = 389,424,658.61
  5. Step 5: Solve for x
    x = 389,424,658.61/27,099.12
  6. Step 6: Final answer
    x = 14,370.38

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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.