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Finding the Fourth Proportional to 27,709.80, 41,590.80 and 14,571.60

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Solution

The fourth proportional to 27,709.80, 41,590.80 and 14,571.60 is: 21,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.80 : 41,590.80 = 14,571.60 : x
  2. Step 2: Convert to fraction form
    27,709.80/41,590.80 = 14,571.60/x
  3. Step 3: Cross multiply
    27,709.80x = 41,590.80 × 14,571.60
  4. Step 4: Simplify right side
    27,709.80x = 606,044,501.28
  5. Step 5: Solve for x
    x = 606,044,501.28/27,709.80
  6. Step 6: Final answer
    x = 21,871.13

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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.