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Finding the Fourth Proportional to 17,513.98, 26,271 and 5,827.30

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Solution

The fourth proportional to 17,513.98, 26,271 and 5,827.30 is: 8,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,513.98 : 26,271 = 5,827.30 : x
  2. Step 2: Convert to fraction form
    17,513.98/26,271 = 5,827.30/x
  3. Step 3: Cross multiply
    17,513.98x = 26,271 × 5,827.30
  4. Step 4: Simplify right side
    17,513.98x = 153,088,998.30
  5. Step 5: Solve for x
    x = 153,088,998.30/17,513.98
  6. Step 6: Final answer
    x = 8,740.96

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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.