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Finding the Fourth Proportional to 19,633.32, 29,464.97 and 9,780.89

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Solution

The fourth proportional to 19,633.32, 29,464.97 and 9,780.89 is: 14,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.32 : 29,464.97 = 9,780.89 : x
  2. Step 2: Convert to fraction form
    19,633.32/29,464.97 = 9,780.89/x
  3. Step 3: Cross multiply
    19,633.32x = 29,464.97 × 9,780.89
  4. Step 4: Simplify right side
    19,633.32x = 288,193,434.19
  5. Step 5: Solve for x
    x = 288,193,434.19/19,633.32
  6. Step 6: Final answer
    x = 14,678.79

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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.