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Finding the Fourth Proportional to 12,406.29, 17,120.14 and 7,101

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Solution

The fourth proportional to 12,406.29, 17,120.14 and 7,101 is: 9,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.29 : 17,120.14 = 7,101 : x
  2. Step 2: Convert to fraction form
    12,406.29/17,120.14 = 7,101/x
  3. Step 3: Cross multiply
    12,406.29x = 17,120.14 × 7,101
  4. Step 4: Simplify right side
    12,406.29x = 121,570,114.14
  5. Step 5: Solve for x
    x = 121,570,114.14/12,406.29
  6. Step 6: Final answer
    x = 9,799.07

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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.