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Finding the Fourth Proportional to 19,732.90, 29,604.09 and 6,585.40

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Solution

The fourth proportional to 19,732.90, 29,604.09 and 6,585.40 is: 9,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.90 : 29,604.09 = 6,585.40 : x
  2. Step 2: Convert to fraction form
    19,732.90/29,604.09 = 6,585.40/x
  3. Step 3: Cross multiply
    19,732.90x = 29,604.09 × 6,585.40
  4. Step 4: Simplify right side
    19,732.90x = 194,954,774.29
  5. Step 5: Solve for x
    x = 194,954,774.29/19,732.90
  6. Step 6: Final answer
    x = 9,879.68

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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.