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Finding the Fourth Proportional to 27,024, 40,536.18 and 8,556

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Solution

The fourth proportional to 27,024, 40,536.18 and 8,556 is: 12,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 40,536.18 = 8,556 : x
  2. Step 2: Convert to fraction form
    27,024/40,536.18 = 8,556/x
  3. Step 3: Cross multiply
    27,024x = 40,536.18 × 8,556
  4. Step 4: Simplify right side
    27,024x = 346,827,556.08
  5. Step 5: Solve for x
    x = 346,827,556.08/27,024
  6. Step 6: Final answer
    x = 12,834.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.