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Finding the Fourth Proportional to 19,650.34, 29,456.98 and 9,780.29

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Solution

The fourth proportional to 19,650.34, 29,456.98 and 9,780.29 is: 14,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.34 : 29,456.98 = 9,780.29 : x
  2. Step 2: Convert to fraction form
    19,650.34/29,456.98 = 9,780.29/x
  3. Step 3: Cross multiply
    19,650.34x = 29,456.98 × 9,780.29
  4. Step 4: Simplify right side
    19,650.34x = 288,097,635.19
  5. Step 5: Solve for x
    x = 288,097,635.19/19,650.34
  6. Step 6: Final answer
    x = 14,661.21

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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.