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Finding the Fourth Proportional to 13,224.96, 18,254.16 and 7,562.70

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Solution

The fourth proportional to 13,224.96, 18,254.16 and 7,562.70 is: 10,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.96 : 18,254.16 = 7,562.70 : x
  2. Step 2: Convert to fraction form
    13,224.96/18,254.16 = 7,562.70/x
  3. Step 3: Cross multiply
    13,224.96x = 18,254.16 × 7,562.70
  4. Step 4: Simplify right side
    13,224.96x = 138,050,735.83
  5. Step 5: Solve for x
    x = 138,050,735.83/13,224.96
  6. Step 6: Final answer
    x = 10,438.65

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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.