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Finding the Fourth Proportional to 14,924.88, 20,597.34 and 9,880.38

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Solution

The fourth proportional to 14,924.88, 20,597.34 and 9,880.38 is: 13,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.88 : 20,597.34 = 9,880.38 : x
  2. Step 2: Convert to fraction form
    14,924.88/20,597.34 = 9,880.38/x
  3. Step 3: Cross multiply
    14,924.88x = 20,597.34 × 9,880.38
  4. Step 4: Simplify right side
    14,924.88x = 203,509,546.19
  5. Step 5: Solve for x
    x = 203,509,546.19/14,924.88
  6. Step 6: Final answer
    x = 13,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.