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Finding the Fourth Proportional to 16,254.35, 24,376.69 and 6,894.24

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Solution

The fourth proportional to 16,254.35, 24,376.69 and 6,894.24 is: 10,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.35 : 24,376.69 = 6,894.24 : x
  2. Step 2: Convert to fraction form
    16,254.35/24,376.69 = 6,894.24/x
  3. Step 3: Cross multiply
    16,254.35x = 24,376.69 × 6,894.24
  4. Step 4: Simplify right side
    16,254.35x = 168,058,751.27
  5. Step 5: Solve for x
    x = 168,058,751.27/16,254.35
  6. Step 6: Final answer
    x = 10,339.31

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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.