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Finding the Fourth Proportional to 17,899.84, 24,702.09 and 9,833.83

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Solution

The fourth proportional to 17,899.84, 24,702.09 and 9,833.83 is: 13,570.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,899.84 : 24,702.09 = 9,833.83 : x
  2. Step 2: Convert to fraction form
    17,899.84/24,702.09 = 9,833.83/x
  3. Step 3: Cross multiply
    17,899.84x = 24,702.09 × 9,833.83
  4. Step 4: Simplify right side
    17,899.84x = 242,916,153.70
  5. Step 5: Solve for x
    x = 242,916,153.70/17,899.84
  6. Step 6: Final answer
    x = 13,570.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.