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Finding the Fourth Proportional to 24,014.64, 36,022.08 and 7,374.48

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Solution

The fourth proportional to 24,014.64, 36,022.08 and 7,374.48 is: 11,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.64 : 36,022.08 = 7,374.48 : x
  2. Step 2: Convert to fraction form
    24,014.64/36,022.08 = 7,374.48/x
  3. Step 3: Cross multiply
    24,014.64x = 36,022.08 × 7,374.48
  4. Step 4: Simplify right side
    24,014.64x = 265,644,108.52
  5. Step 5: Solve for x
    x = 265,644,108.52/24,014.64
  6. Step 6: Final answer
    x = 11,061.76

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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.