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Finding the Fourth Proportional to 28,335.24, 39,112.80 and 16,404

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Solution

The fourth proportional to 28,335.24, 39,112.80 and 16,404 is: 22,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,335.24 : 39,112.80 = 16,404 : x
  2. Step 2: Convert to fraction form
    28,335.24/39,112.80 = 16,404/x
  3. Step 3: Cross multiply
    28,335.24x = 39,112.80 × 16,404
  4. Step 4: Simplify right side
    28,335.24x = 641,606,371.20
  5. Step 5: Solve for x
    x = 641,606,371.20/28,335.24
  6. Step 6: Final answer
    x = 22,643.41

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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.