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Finding the Fourth Proportional to 16,105.12, 24,164.57 and 8,319.40

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Solution

The fourth proportional to 16,105.12, 24,164.57 and 8,319.40 is: 12,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.12 : 24,164.57 = 8,319.40 : x
  2. Step 2: Convert to fraction form
    16,105.12/24,164.57 = 8,319.40/x
  3. Step 3: Cross multiply
    16,105.12x = 24,164.57 × 8,319.40
  4. Step 4: Simplify right side
    16,105.12x = 201,034,784.07
  5. Step 5: Solve for x
    x = 201,034,784.07/16,105.12
  6. Step 6: Final answer
    x = 12,482.66

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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.