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Finding the Fourth Proportional to 11,911.72, 17,838.30 and 9,818.92

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Solution

The fourth proportional to 11,911.72, 17,838.30 and 9,818.92 is: 14,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.72 : 17,838.30 = 9,818.92 : x
  2. Step 2: Convert to fraction form
    11,911.72/17,838.30 = 9,818.92/x
  3. Step 3: Cross multiply
    11,911.72x = 17,838.30 × 9,818.92
  4. Step 4: Simplify right side
    11,911.72x = 175,152,840.64
  5. Step 5: Solve for x
    x = 175,152,840.64/11,911.72
  6. Step 6: Final answer
    x = 14,704.24

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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.