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Finding the Fourth Proportional to 12,406.85, 17,122.20 and 7,101.55

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Solution

The fourth proportional to 12,406.85, 17,122.20 and 7,101.55 is: 9,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.85 : 17,122.20 = 7,101.55 : x
  2. Step 2: Convert to fraction form
    12,406.85/17,122.20 = 7,101.55/x
  3. Step 3: Cross multiply
    12,406.85x = 17,122.20 × 7,101.55
  4. Step 4: Simplify right side
    12,406.85x = 121,594,159.41
  5. Step 5: Solve for x
    x = 121,594,159.41/12,406.85
  6. Step 6: Final answer
    x = 9,800.57

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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.