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Finding the Fourth Proportional to 19,676.07, 29,498.02 and 9,152.65

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Solution

The fourth proportional to 19,676.07, 29,498.02 and 9,152.65 is: 13,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.07 : 29,498.02 = 9,152.65 : x
  2. Step 2: Convert to fraction form
    19,676.07/29,498.02 = 9,152.65/x
  3. Step 3: Cross multiply
    19,676.07x = 29,498.02 × 9,152.65
  4. Step 4: Simplify right side
    19,676.07x = 269,985,052.75
  5. Step 5: Solve for x
    x = 269,985,052.75/19,676.07
  6. Step 6: Final answer
    x = 13,721.49

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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.