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Finding the Fourth Proportional to 17,583.16, 24,264.16 and 10,505.36

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Solution

The fourth proportional to 17,583.16, 24,264.16 and 10,505.36 is: 14,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.16 : 24,264.16 = 10,505.36 : x
  2. Step 2: Convert to fraction form
    17,583.16/24,264.16 = 10,505.36/x
  3. Step 3: Cross multiply
    17,583.16x = 24,264.16 × 10,505.36
  4. Step 4: Simplify right side
    17,583.16x = 254,903,735.90
  5. Step 5: Solve for x
    x = 254,903,735.90/17,583.16
  6. Step 6: Final answer
    x = 14,497.04

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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.