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Finding the Fourth Proportional to 11,712.64, 17,599.24 and 8,809.60

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Solution

The fourth proportional to 11,712.64, 17,599.24 and 8,809.60 is: 13,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.64 : 17,599.24 = 8,809.60 : x
  2. Step 2: Convert to fraction form
    11,712.64/17,599.24 = 8,809.60/x
  3. Step 3: Cross multiply
    11,712.64x = 17,599.24 × 8,809.60
  4. Step 4: Simplify right side
    11,712.64x = 155,042,264.70
  5. Step 5: Solve for x
    x = 155,042,264.70/11,712.64
  6. Step 6: Final answer
    x = 13,237.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.