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Finding the Fourth Proportional to 19,676.57, 29,498.77 and 9,153.15

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Solution

The fourth proportional to 19,676.57, 29,498.77 and 9,153.15 is: 13,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.57 : 29,498.77 = 9,153.15 : x
  2. Step 2: Convert to fraction form
    19,676.57/29,498.77 = 9,153.15/x
  3. Step 3: Cross multiply
    19,676.57x = 29,498.77 × 9,153.15
  4. Step 4: Simplify right side
    19,676.57x = 270,006,666.63
  5. Step 5: Solve for x
    x = 270,006,666.63/19,676.57
  6. Step 6: Final answer
    x = 13,722.24

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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.