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Finding the Fourth Proportional to 27,564.92, 38,048.18 and 16,233.52

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Solution

The fourth proportional to 27,564.92, 38,048.18 and 16,233.52 is: 22,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.92 : 38,048.18 = 16,233.52 : x
  2. Step 2: Convert to fraction form
    27,564.92/38,048.18 = 16,233.52/x
  3. Step 3: Cross multiply
    27,564.92x = 38,048.18 × 16,233.52
  4. Step 4: Simplify right side
    27,564.92x = 617,655,890.99
  5. Step 5: Solve for x
    x = 617,655,890.99/27,564.92
  6. Step 6: Final answer
    x = 22,407.32

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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.