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Finding the Fourth Proportional to 17,827.92, 24,602.40 and 10,758.24

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Solution

The fourth proportional to 17,827.92, 24,602.40 and 10,758.24 is: 14,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.92 : 24,602.40 = 10,758.24 : x
  2. Step 2: Convert to fraction form
    17,827.92/24,602.40 = 10,758.24/x
  3. Step 3: Cross multiply
    17,827.92x = 24,602.40 × 10,758.24
  4. Step 4: Simplify right side
    17,827.92x = 264,678,523.78
  5. Step 5: Solve for x
    x = 264,678,523.78/17,827.92
  6. Step 6: Final answer
    x = 14,846.29

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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.