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Finding the Fourth Proportional to 11,570.17, 17,312.62 and 8,182.96

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Solution

The fourth proportional to 11,570.17, 17,312.62 and 8,182.96 is: 12,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.17 : 17,312.62 = 8,182.96 : x
  2. Step 2: Convert to fraction form
    11,570.17/17,312.62 = 8,182.96/x
  3. Step 3: Cross multiply
    11,570.17x = 17,312.62 × 8,182.96
  4. Step 4: Simplify right side
    11,570.17x = 141,668,476.96
  5. Step 5: Solve for x
    x = 141,668,476.96/11,570.17
  6. Step 6: Final answer
    x = 12,244.29

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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.