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Finding the Fourth Proportional to 27,020.88, 40,536.75 and 9,488.40

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Solution

The fourth proportional to 27,020.88, 40,536.75 and 9,488.40 is: 14,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.88 : 40,536.75 = 9,488.40 : x
  2. Step 2: Convert to fraction form
    27,020.88/40,536.75 = 9,488.40/x
  3. Step 3: Cross multiply
    27,020.88x = 40,536.75 × 9,488.40
  4. Step 4: Simplify right side
    27,020.88x = 384,628,898.70
  5. Step 5: Solve for x
    x = 384,628,898.70/27,020.88
  6. Step 6: Final answer
    x = 14,234.51

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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.