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Finding the Fourth Proportional to 19,720.14, 29,562.93 and 7,416.78

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Solution

The fourth proportional to 19,720.14, 29,562.93 and 7,416.78 is: 11,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.14 : 29,562.93 = 7,416.78 : x
  2. Step 2: Convert to fraction form
    19,720.14/29,562.93 = 7,416.78/x
  3. Step 3: Cross multiply
    19,720.14x = 29,562.93 × 7,416.78
  4. Step 4: Simplify right side
    19,720.14x = 219,261,747.97
  5. Step 5: Solve for x
    x = 219,261,747.97/19,720.14
  6. Step 6: Final answer
    x = 11,118.67

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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.