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Finding the Fourth Proportional to 13,375.28, 18,457.56 and 7,406.84

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Solution

The fourth proportional to 13,375.28, 18,457.56 and 7,406.84 is: 10,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.28 : 18,457.56 = 7,406.84 : x
  2. Step 2: Convert to fraction form
    13,375.28/18,457.56 = 7,406.84/x
  3. Step 3: Cross multiply
    13,375.28x = 18,457.56 × 7,406.84
  4. Step 4: Simplify right side
    13,375.28x = 136,712,193.71
  5. Step 5: Solve for x
    x = 136,712,193.71/13,375.28
  6. Step 6: Final answer
    x = 10,221.26

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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.