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Finding the Fourth Proportional to 23,876.64, 35,785.50 and 9,827.90

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Solution

The fourth proportional to 23,876.64, 35,785.50 and 9,827.90 is: 14,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.64 : 35,785.50 = 9,827.90 : x
  2. Step 2: Convert to fraction form
    23,876.64/35,785.50 = 9,827.90/x
  3. Step 3: Cross multiply
    23,876.64x = 35,785.50 × 9,827.90
  4. Step 4: Simplify right side
    23,876.64x = 351,696,233.86
  5. Step 5: Solve for x
    x = 351,696,233.86/23,876.64
  6. Step 6: Final answer
    x = 14,729.72

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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.