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Finding the Fourth Proportional to 13,938.64, 19,234.74 and 7,650.61

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Solution

The fourth proportional to 13,938.64, 19,234.74 and 7,650.61 is: 10,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.64 : 19,234.74 = 7,650.61 : x
  2. Step 2: Convert to fraction form
    13,938.64/19,234.74 = 7,650.61/x
  3. Step 3: Cross multiply
    13,938.64x = 19,234.74 × 7,650.61
  4. Step 4: Simplify right side
    13,938.64x = 147,157,494.19
  5. Step 5: Solve for x
    x = 147,157,494.19/13,938.64
  6. Step 6: Final answer
    x = 10,557.52

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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.