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Finding the Fourth Proportional to 17,509.30, 26,265.58 and 6,976.78

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Solution

The fourth proportional to 17,509.30, 26,265.58 and 6,976.78 is: 10,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.30 : 26,265.58 = 6,976.78 : x
  2. Step 2: Convert to fraction form
    17,509.30/26,265.58 = 6,976.78/x
  3. Step 3: Cross multiply
    17,509.30x = 26,265.58 × 6,976.78
  4. Step 4: Simplify right side
    17,509.30x = 183,249,173.23
  5. Step 5: Solve for x
    x = 183,249,173.23/17,509.30
  6. Step 6: Final answer
    x = 10,465.82

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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.