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Finding the Fourth Proportional to 12,406.90, 17,121.51 and 7,101.70

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Solution

The fourth proportional to 12,406.90, 17,121.51 and 7,101.70 is: 9,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.90 : 17,121.51 = 7,101.70 : x
  2. Step 2: Convert to fraction form
    12,406.90/17,121.51 = 7,101.70/x
  3. Step 3: Cross multiply
    12,406.90x = 17,121.51 × 7,101.70
  4. Step 4: Simplify right side
    12,406.90x = 121,591,827.57
  5. Step 5: Solve for x
    x = 121,591,827.57/12,406.90
  6. Step 6: Final answer
    x = 9,800.34

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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.