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Finding the Fourth Proportional to 27,111.99, 37,412.51 and 16,500.45

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Solution

The fourth proportional to 27,111.99, 37,412.51 and 16,500.45 is: 22,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.99 : 37,412.51 = 16,500.45 : x
  2. Step 2: Convert to fraction form
    27,111.99/37,412.51 = 16,500.45/x
  3. Step 3: Cross multiply
    27,111.99x = 37,412.51 × 16,500.45
  4. Step 4: Simplify right side
    27,111.99x = 617,323,168.13
  5. Step 5: Solve for x
    x = 617,323,168.13/27,111.99
  6. Step 6: Final answer
    x = 22,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.