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Finding the Fourth Proportional to 12,409.76, 17,127.60 and 8,428.16

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Solution

The fourth proportional to 12,409.76, 17,127.60 and 8,428.16 is: 11,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.76 : 17,127.60 = 8,428.16 : x
  2. Step 2: Convert to fraction form
    12,409.76/17,127.60 = 8,428.16/x
  3. Step 3: Cross multiply
    12,409.76x = 17,127.60 × 8,428.16
  4. Step 4: Simplify right side
    12,409.76x = 144,354,153.22
  5. Step 5: Solve for x
    x = 144,354,153.22/12,409.76
  6. Step 6: Final answer
    x = 11,632.31

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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.