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Finding the Fourth Proportional to 17,583.37, 24,266.70 and 10,509.64

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Solution

The fourth proportional to 17,583.37, 24,266.70 and 10,509.64 is: 14,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.37 : 24,266.70 = 10,509.64 : x
  2. Step 2: Convert to fraction form
    17,583.37/24,266.70 = 10,509.64/x
  3. Step 3: Cross multiply
    17,583.37x = 24,266.70 × 10,509.64
  4. Step 4: Simplify right side
    17,583.37x = 255,034,280.99
  5. Step 5: Solve for x
    x = 255,034,280.99/17,583.37
  6. Step 6: Final answer
    x = 14,504.29

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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.