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Finding the Fourth Proportional to 19,780.64, 29,661.39 and 7,306.54

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Solution

The fourth proportional to 19,780.64, 29,661.39 and 7,306.54 is: 10,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.64 : 29,661.39 = 7,306.54 : x
  2. Step 2: Convert to fraction form
    19,780.64/29,661.39 = 7,306.54/x
  3. Step 3: Cross multiply
    19,780.64x = 29,661.39 × 7,306.54
  4. Step 4: Simplify right side
    19,780.64x = 216,722,058.34
  5. Step 5: Solve for x
    x = 216,722,058.34/19,780.64
  6. Step 6: Final answer
    x = 10,956.27

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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.