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Finding the Fourth Proportional to 12,406.16, 17,120.04 and 7,100.84

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Solution

The fourth proportional to 12,406.16, 17,120.04 and 7,100.84 is: 9,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.16 : 17,120.04 = 7,100.84 : x
  2. Step 2: Convert to fraction form
    12,406.16/17,120.04 = 7,100.84/x
  3. Step 3: Cross multiply
    12,406.16x = 17,120.04 × 7,100.84
  4. Step 4: Simplify right side
    12,406.16x = 121,566,664.83
  5. Step 5: Solve for x
    x = 121,566,664.83/12,406.16
  6. Step 6: Final answer
    x = 9,798.90

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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.