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Finding the Fourth Proportional to 17,056.48, 25,574.16 and 6,656

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Solution

The fourth proportional to 17,056.48, 25,574.16 and 6,656 is: 9,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056.48 : 25,574.16 = 6,656 : x
  2. Step 2: Convert to fraction form
    17,056.48/25,574.16 = 6,656/x
  3. Step 3: Cross multiply
    17,056.48x = 25,574.16 × 6,656
  4. Step 4: Simplify right side
    17,056.48x = 170,221,608.96
  5. Step 5: Solve for x
    x = 170,221,608.96/17,056.48
  6. Step 6: Final answer
    x = 9,979.88

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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.