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Finding the Fourth Proportional to 19,784.70, 29,650.91 and 9,253.89

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Solution

The fourth proportional to 19,784.70, 29,650.91 and 9,253.89 is: 13,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.70 : 29,650.91 = 9,253.89 : x
  2. Step 2: Convert to fraction form
    19,784.70/29,650.91 = 9,253.89/x
  3. Step 3: Cross multiply
    19,784.70x = 29,650.91 × 9,253.89
  4. Step 4: Simplify right side
    19,784.70x = 274,386,213.27
  5. Step 5: Solve for x
    x = 274,386,213.27/19,784.70
  6. Step 6: Final answer
    x = 13,868.61

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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.