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Finding the Fourth Proportional to 19,779.68, 29,663.32 and 5,740.67

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Solution

The fourth proportional to 19,779.68, 29,663.32 and 5,740.67 is: 8,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779.68 : 29,663.32 = 5,740.67 : x
  2. Step 2: Convert to fraction form
    19,779.68/29,663.32 = 5,740.67/x
  3. Step 3: Cross multiply
    19,779.68x = 29,663.32 × 5,740.67
  4. Step 4: Simplify right side
    19,779.68x = 170,287,391.03
  5. Step 5: Solve for x
    x = 170,287,391.03/19,779.68
  6. Step 6: Final answer
    x = 8,609.21

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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.