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Finding the Fourth Proportional to 19,565.67, 29,348.50 and 7,876.16

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Solution

The fourth proportional to 19,565.67, 29,348.50 and 7,876.16 is: 11,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.67 : 29,348.50 = 7,876.16 : x
  2. Step 2: Convert to fraction form
    19,565.67/29,348.50 = 7,876.16/x
  3. Step 3: Cross multiply
    19,565.67x = 29,348.50 × 7,876.16
  4. Step 4: Simplify right side
    19,565.67x = 231,153,481.76
  5. Step 5: Solve for x
    x = 231,153,481.76/19,565.67
  6. Step 6: Final answer
    x = 11,814.24

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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.