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Finding the Fourth Proportional to 13,207.74, 18,224.37 and 7,539.90

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Solution

The fourth proportional to 13,207.74, 18,224.37 and 7,539.90 is: 10,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.74 : 18,224.37 = 7,539.90 : x
  2. Step 2: Convert to fraction form
    13,207.74/18,224.37 = 7,539.90/x
  3. Step 3: Cross multiply
    13,207.74x = 18,224.37 × 7,539.90
  4. Step 4: Simplify right side
    13,207.74x = 137,409,927.36
  5. Step 5: Solve for x
    x = 137,409,927.36/13,207.74
  6. Step 6: Final answer
    x = 10,403.74

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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.