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Finding the Fourth Proportional to 16,256.70, 22,424.50 and 9,880.08

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Solution

The fourth proportional to 16,256.70, 22,424.50 and 9,880.08 is: 13,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.70 : 22,424.50 = 9,880.08 : x
  2. Step 2: Convert to fraction form
    16,256.70/22,424.50 = 9,880.08/x
  3. Step 3: Cross multiply
    16,256.70x = 22,424.50 × 9,880.08
  4. Step 4: Simplify right side
    16,256.70x = 221,555,853.96
  5. Step 5: Solve for x
    x = 221,555,853.96/16,256.70
  6. Step 6: Final answer
    x = 13,628.59

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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.