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Finding the Fourth Proportional to 17,006.76, 23,465.70 and 9,835.83

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Solution

The fourth proportional to 17,006.76, 23,465.70 and 9,835.83 is: 13,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.76 : 23,465.70 = 9,835.83 : x
  2. Step 2: Convert to fraction form
    17,006.76/23,465.70 = 9,835.83/x
  3. Step 3: Cross multiply
    17,006.76x = 23,465.70 × 9,835.83
  4. Step 4: Simplify right side
    17,006.76x = 230,804,636.03
  5. Step 5: Solve for x
    x = 230,804,636.03/17,006.76
  6. Step 6: Final answer
    x = 13,571.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.