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Finding the Fourth Proportional to 38,209.40, 57,303 and 16,022.16

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Solution

The fourth proportional to 38,209.40, 57,303 and 16,022.16 is: 24,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.40 : 57,303 = 16,022.16 : x
  2. Step 2: Convert to fraction form
    38,209.40/57,303 = 16,022.16/x
  3. Step 3: Cross multiply
    38,209.40x = 57,303 × 16,022.16
  4. Step 4: Simplify right side
    38,209.40x = 918,117,834.48
  5. Step 5: Solve for x
    x = 918,117,834.48/38,209.40
  6. Step 6: Final answer
    x = 24,028.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.