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Finding the Fourth Proportional to 12,693.37, 17,500.06 and 10,416.37

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Solution

The fourth proportional to 12,693.37, 17,500.06 and 10,416.37 is: 14,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.37 : 17,500.06 = 10,416.37 : x
  2. Step 2: Convert to fraction form
    12,693.37/17,500.06 = 10,416.37/x
  3. Step 3: Cross multiply
    12,693.37x = 17,500.06 × 10,416.37
  4. Step 4: Simplify right side
    12,693.37x = 182,287,099.98
  5. Step 5: Solve for x
    x = 182,287,099.98/12,693.37
  6. Step 6: Final answer
    x = 14,360.81

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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.