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Finding the Fourth Proportional to 16,434.68, 24,627.41 and 9,853.64

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Solution

The fourth proportional to 16,434.68, 24,627.41 and 9,853.64 is: 14,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.68 : 24,627.41 = 9,853.64 : x
  2. Step 2: Convert to fraction form
    16,434.68/24,627.41 = 9,853.64/x
  3. Step 3: Cross multiply
    16,434.68x = 24,627.41 × 9,853.64
  4. Step 4: Simplify right side
    16,434.68x = 242,669,459.87
  5. Step 5: Solve for x
    x = 242,669,459.87/16,434.68
  6. Step 6: Final answer
    x = 14,765.70

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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.