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Finding the Fourth Proportional to 24,076.78, 36,106.29 and 8,277.32

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Solution

The fourth proportional to 24,076.78, 36,106.29 and 8,277.32 is: 12,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.78 : 36,106.29 = 8,277.32 : x
  2. Step 2: Convert to fraction form
    24,076.78/36,106.29 = 8,277.32/x
  3. Step 3: Cross multiply
    24,076.78x = 36,106.29 × 8,277.32
  4. Step 4: Simplify right side
    24,076.78x = 298,863,406.61
  5. Step 5: Solve for x
    x = 298,863,406.61/24,076.78
  6. Step 6: Final answer
    x = 12,412.93

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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.