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Finding the Fourth Proportional to 12,409.86, 17,120.76 and 7,101.84

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Solution

The fourth proportional to 12,409.86, 17,120.76 and 7,101.84 is: 9,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.86 : 17,120.76 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    12,409.86/17,120.76 = 7,101.84/x
  3. Step 3: Cross multiply
    12,409.86x = 17,120.76 × 7,101.84
  4. Step 4: Simplify right side
    12,409.86x = 121,588,898.20
  5. Step 5: Solve for x
    x = 121,588,898.20/12,409.86
  6. Step 6: Final answer
    x = 9,797.77

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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.