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Finding the Fourth Proportional to 13,229.74, 18,254.16 and 7,637.50

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Solution

The fourth proportional to 13,229.74, 18,254.16 and 7,637.50 is: 10,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.74 : 18,254.16 = 7,637.50 : x
  2. Step 2: Convert to fraction form
    13,229.74/18,254.16 = 7,637.50/x
  3. Step 3: Cross multiply
    13,229.74x = 18,254.16 × 7,637.50
  4. Step 4: Simplify right side
    13,229.74x = 139,416,147
  5. Step 5: Solve for x
    x = 139,416,147/13,229.74
  6. Step 6: Final answer
    x = 10,538.09

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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.