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Finding the Fourth Proportional to 17,284.92, 25,953.32 and 9,897.72

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Solution

The fourth proportional to 17,284.92, 25,953.32 and 9,897.72 is: 14,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.92 : 25,953.32 = 9,897.72 : x
  2. Step 2: Convert to fraction form
    17,284.92/25,953.32 = 9,897.72/x
  3. Step 3: Cross multiply
    17,284.92x = 25,953.32 × 9,897.72
  4. Step 4: Simplify right side
    17,284.92x = 256,878,694.43
  5. Step 5: Solve for x
    x = 256,878,694.43/17,284.92
  6. Step 6: Final answer
    x = 14,861.43

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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.