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Finding the Fourth Proportional to 16,385.64, 24,568.62 and 6,526.44

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Solution

The fourth proportional to 16,385.64, 24,568.62 and 6,526.44 is: 9,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.64 : 24,568.62 = 6,526.44 : x
  2. Step 2: Convert to fraction form
    16,385.64/24,568.62 = 6,526.44/x
  3. Step 3: Cross multiply
    16,385.64x = 24,568.62 × 6,526.44
  4. Step 4: Simplify right side
    16,385.64x = 160,345,624.31
  5. Step 5: Solve for x
    x = 160,345,624.31/16,385.64
  6. Step 6: Final answer
    x = 9,785.74

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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.