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Finding the Fourth Proportional to 28,021.28, 42,048 and 11,378.24

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Solution

The fourth proportional to 28,021.28, 42,048 and 11,378.24 is: 17,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021.28 : 42,048 = 11,378.24 : x
  2. Step 2: Convert to fraction form
    28,021.28/42,048 = 11,378.24/x
  3. Step 3: Cross multiply
    28,021.28x = 42,048 × 11,378.24
  4. Step 4: Simplify right side
    28,021.28x = 478,432,235.52
  5. Step 5: Solve for x
    x = 478,432,235.52/28,021.28
  6. Step 6: Final answer
    x = 17,073.89

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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.