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Finding the Fourth Proportional to 24,336.64, 36,509.46 and 7,700.86

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Solution

The fourth proportional to 24,336.64, 36,509.46 and 7,700.86 is: 11,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.64 : 36,509.46 = 7,700.86 : x
  2. Step 2: Convert to fraction form
    24,336.64/36,509.46 = 7,700.86/x
  3. Step 3: Cross multiply
    24,336.64x = 36,509.46 × 7,700.86
  4. Step 4: Simplify right side
    24,336.64x = 281,154,240.14
  5. Step 5: Solve for x
    x = 281,154,240.14/24,336.64
  6. Step 6: Final answer
    x = 11,552.71

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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.