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Finding the Fourth Proportional to 17,002.92, 25,509.34 and 7,137

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Solution

The fourth proportional to 17,002.92, 25,509.34 and 7,137 is: 10,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.92 : 25,509.34 = 7,137 : x
  2. Step 2: Convert to fraction form
    17,002.92/25,509.34 = 7,137/x
  3. Step 3: Cross multiply
    17,002.92x = 25,509.34 × 7,137
  4. Step 4: Simplify right side
    17,002.92x = 182,060,159.58
  5. Step 5: Solve for x
    x = 182,060,159.58/17,002.92
  6. Step 6: Final answer
    x = 10,707.58

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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.