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Finding the Fourth Proportional to 27,535.50, 38,002.23 and 16,357.50

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Solution

The fourth proportional to 27,535.50, 38,002.23 and 16,357.50 is: 22,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.50 : 38,002.23 = 16,357.50 : x
  2. Step 2: Convert to fraction form
    27,535.50/38,002.23 = 16,357.50/x
  3. Step 3: Cross multiply
    27,535.50x = 38,002.23 × 16,357.50
  4. Step 4: Simplify right side
    27,535.50x = 621,621,477.23
  5. Step 5: Solve for x
    x = 621,621,477.23/27,535.50
  6. Step 6: Final answer
    x = 22,575.27

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