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Finding the Fourth Proportional to 24,336.30, 36,477.45 and 9,540.30

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Solution

The fourth proportional to 24,336.30, 36,477.45 and 9,540.30 is: 14,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.30 : 36,477.45 = 9,540.30 : x
  2. Step 2: Convert to fraction form
    24,336.30/36,477.45 = 9,540.30/x
  3. Step 3: Cross multiply
    24,336.30x = 36,477.45 × 9,540.30
  4. Step 4: Simplify right side
    24,336.30x = 348,005,816.24
  5. Step 5: Solve for x
    x = 348,005,816.24/24,336.30
  6. Step 6: Final answer
    x = 14,299.87

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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.