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Finding the Fourth Proportional to 13,419.64, 18,519.74 and 7,451.29

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Solution

The fourth proportional to 13,419.64, 18,519.74 and 7,451.29 is: 10,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.64 : 18,519.74 = 7,451.29 : x
  2. Step 2: Convert to fraction form
    13,419.64/18,519.74 = 7,451.29/x
  3. Step 3: Cross multiply
    13,419.64x = 18,519.74 × 7,451.29
  4. Step 4: Simplify right side
    13,419.64x = 137,995,953.46
  5. Step 5: Solve for x
    x = 137,995,953.46/13,419.64
  6. Step 6: Final answer
    x = 10,283.13

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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.