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Finding the Fourth Proportional to 14,924.48, 20,596.80 and 9,880

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Solution

The fourth proportional to 14,924.48, 20,596.80 and 9,880 is: 13,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.48 : 20,596.80 = 9,880 : x
  2. Step 2: Convert to fraction form
    14,924.48/20,596.80 = 9,880/x
  3. Step 3: Cross multiply
    14,924.48x = 20,596.80 × 9,880
  4. Step 4: Simplify right side
    14,924.48x = 203,496,384
  5. Step 5: Solve for x
    x = 203,496,384/14,924.48
  6. Step 6: Final answer
    x = 13,635.07

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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.