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Finding the Fourth Proportional to 21,033.76, 31,560 and 11,170.64

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Solution

The fourth proportional to 21,033.76, 31,560 and 11,170.64 is: 16,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.76 : 31,560 = 11,170.64 : x
  2. Step 2: Convert to fraction form
    21,033.76/31,560 = 11,170.64/x
  3. Step 3: Cross multiply
    21,033.76x = 31,560 × 11,170.64
  4. Step 4: Simplify right side
    21,033.76x = 352,545,398.40
  5. Step 5: Solve for x
    x = 352,545,398.40/21,033.76
  6. Step 6: Final answer
    x = 16,760.93

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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.