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Finding the Fourth Proportional to 27,124, 40,686.24 and 9,596.80

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Solution

The fourth proportional to 27,124, 40,686.24 and 9,596.80 is: 14,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 40,686.24 = 9,596.80 : x
  2. Step 2: Convert to fraction form
    27,124/40,686.24 = 9,596.80/x
  3. Step 3: Cross multiply
    27,124x = 40,686.24 × 9,596.80
  4. Step 4: Simplify right side
    27,124x = 390,457,708.03
  5. Step 5: Solve for x
    x = 390,457,708.03/27,124
  6. Step 6: Final answer
    x = 14,395.28

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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.