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Finding the Fourth Proportional to 17,509.55, 26,265.96 and 6,977.03

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Solution

The fourth proportional to 17,509.55, 26,265.96 and 6,977.03 is: 10,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.55 : 26,265.96 = 6,977.03 : x
  2. Step 2: Convert to fraction form
    17,509.55/26,265.96 = 6,977.03/x
  3. Step 3: Cross multiply
    17,509.55x = 26,265.96 × 6,977.03
  4. Step 4: Simplify right side
    17,509.55x = 183,258,390.90
  5. Step 5: Solve for x
    x = 183,258,390.90/17,509.55
  6. Step 6: Final answer
    x = 10,466.20

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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.