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Finding the Fourth Proportional to 27,159.21, 40,744.02 and 9,389.23

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Solution

The fourth proportional to 27,159.21, 40,744.02 and 9,389.23 is: 14,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,159.21 : 40,744.02 = 9,389.23 : x
  2. Step 2: Convert to fraction form
    27,159.21/40,744.02 = 9,389.23/x
  3. Step 3: Cross multiply
    27,159.21x = 40,744.02 × 9,389.23
  4. Step 4: Simplify right side
    27,159.21x = 382,554,974.90
  5. Step 5: Solve for x
    x = 382,554,974.90/27,159.21
  6. Step 6: Final answer
    x = 14,085.64

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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.