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Finding the Fourth Proportional to 19,565.72, 29,352.23 and 6,421.85

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Solution

The fourth proportional to 19,565.72, 29,352.23 and 6,421.85 is: 9,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.72 : 29,352.23 = 6,421.85 : x
  2. Step 2: Convert to fraction form
    19,565.72/29,352.23 = 6,421.85/x
  3. Step 3: Cross multiply
    19,565.72x = 29,352.23 × 6,421.85
  4. Step 4: Simplify right side
    19,565.72x = 188,495,618.23
  5. Step 5: Solve for x
    x = 188,495,618.23/19,565.72
  6. Step 6: Final answer
    x = 9,633.97

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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.