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Finding the Fourth Proportional to 13,381.74, 20,072.52 and 10,462.50

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Solution

The fourth proportional to 13,381.74, 20,072.52 and 10,462.50 is: 15,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.74 : 20,072.52 = 10,462.50 : x
  2. Step 2: Convert to fraction form
    13,381.74/20,072.52 = 10,462.50/x
  3. Step 3: Cross multiply
    13,381.74x = 20,072.52 × 10,462.50
  4. Step 4: Simplify right side
    13,381.74x = 210,008,740.50
  5. Step 5: Solve for x
    x = 210,008,740.50/13,381.74
  6. Step 6: Final answer
    x = 15,693.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.