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Finding the Fourth Proportional to 27,564.00, 38,041.14 and 16,237.06

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Solution

The fourth proportional to 27,564.00, 38,041.14 and 16,237.06 is: 22,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.00 : 38,041.14 = 16,237.06 : x
  2. Step 2: Convert to fraction form
    27,564.00/38,041.14 = 16,237.06/x
  3. Step 3: Cross multiply
    27,564.00x = 38,041.14 × 16,237.06
  4. Step 4: Simplify right side
    27,564.00x = 617,676,041.85
  5. Step 5: Solve for x
    x = 617,676,041.85/27,564.00
  6. Step 6: Final answer
    x = 22,408.80

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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.