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Finding the Fourth Proportional to 14,738.65, 20,343.65 and 9,634.93

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Solution

The fourth proportional to 14,738.65, 20,343.65 and 9,634.93 is: 13,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.65 : 20,343.65 = 9,634.93 : x
  2. Step 2: Convert to fraction form
    14,738.65/20,343.65 = 9,634.93/x
  3. Step 3: Cross multiply
    14,738.65x = 20,343.65 × 9,634.93
  4. Step 4: Simplify right side
    14,738.65x = 196,009,544.66
  5. Step 5: Solve for x
    x = 196,009,544.66/14,738.65
  6. Step 6: Final answer
    x = 13,299.02

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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.