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Finding the Fourth Proportional to 17,095.76, 25,652.76 and 6,707.60

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Solution

The fourth proportional to 17,095.76, 25,652.76 and 6,707.60 is: 10,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.76 : 25,652.76 = 6,707.60 : x
  2. Step 2: Convert to fraction form
    17,095.76/25,652.76 = 6,707.60/x
  3. Step 3: Cross multiply
    17,095.76x = 25,652.76 × 6,707.60
  4. Step 4: Simplify right side
    17,095.76x = 172,068,452.98
  5. Step 5: Solve for x
    x = 172,068,452.98/17,095.76
  6. Step 6: Final answer
    x = 10,064.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.