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Finding the Fourth Proportional to 24,214.95, 36,326.07 and 7,576.34

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Solution

The fourth proportional to 24,214.95, 36,326.07 and 7,576.34 is: 11,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.95 : 36,326.07 = 7,576.34 : x
  2. Step 2: Convert to fraction form
    24,214.95/36,326.07 = 7,576.34/x
  3. Step 3: Cross multiply
    24,214.95x = 36,326.07 × 7,576.34
  4. Step 4: Simplify right side
    24,214.95x = 275,218,475.55
  5. Step 5: Solve for x
    x = 275,218,475.55/24,214.95
  6. Step 6: Final answer
    x = 11,365.64

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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.