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Finding the Fourth Proportional to 16,513.98, 24,708.89 and 9,825.86

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Solution

The fourth proportional to 16,513.98, 24,708.89 and 9,825.86 is: 14,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.98 : 24,708.89 = 9,825.86 : x
  2. Step 2: Convert to fraction form
    16,513.98/24,708.89 = 9,825.86/x
  3. Step 3: Cross multiply
    16,513.98x = 24,708.89 × 9,825.86
  4. Step 4: Simplify right side
    16,513.98x = 242,785,921.22
  5. Step 5: Solve for x
    x = 242,785,921.22/16,513.98
  6. Step 6: Final answer
    x = 14,701.84

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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.