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Finding the Fourth Proportional to 21,117.92, 31,676.87 and 9,718.70

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Solution

The fourth proportional to 21,117.92, 31,676.87 and 9,718.70 is: 14,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.92 : 31,676.87 = 9,718.70 : x
  2. Step 2: Convert to fraction form
    21,117.92/31,676.87 = 9,718.70/x
  3. Step 3: Cross multiply
    21,117.92x = 31,676.87 × 9,718.70
  4. Step 4: Simplify right side
    21,117.92x = 307,857,838.08
  5. Step 5: Solve for x
    x = 307,857,838.08/21,117.92
  6. Step 6: Final answer
    x = 14,578.04

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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.