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Finding the Fourth Proportional to 27,423.98, 41,130.77 and 13,369.87

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Solution

The fourth proportional to 27,423.98, 41,130.77 and 13,369.87 is: 20,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.98 : 41,130.77 = 13,369.87 : x
  2. Step 2: Convert to fraction form
    27,423.98/41,130.77 = 13,369.87/x
  3. Step 3: Cross multiply
    27,423.98x = 41,130.77 × 13,369.87
  4. Step 4: Simplify right side
    27,423.98x = 549,913,047.90
  5. Step 5: Solve for x
    x = 549,913,047.90/27,423.98
  6. Step 6: Final answer
    x = 20,052.27

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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.