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Finding the Fourth Proportional to 16,409.52, 22,589.28 and 12,424.32

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Solution

The fourth proportional to 16,409.52, 22,589.28 and 12,424.32 is: 17,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.52 : 22,589.28 = 12,424.32 : x
  2. Step 2: Convert to fraction form
    16,409.52/22,589.28 = 12,424.32/x
  3. Step 3: Cross multiply
    16,409.52x = 22,589.28 × 12,424.32
  4. Step 4: Simplify right side
    16,409.52x = 280,656,443.29
  5. Step 5: Solve for x
    x = 280,656,443.29/16,409.52
  6. Step 6: Final answer
    x = 17,103.27

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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.