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Finding the Fourth Proportional to 17,583.64, 24,240.16 and 12,539.10

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Solution

The fourth proportional to 17,583.64, 24,240.16 and 12,539.10 is: 17,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.64 : 24,240.16 = 12,539.10 : x
  2. Step 2: Convert to fraction form
    17,583.64/24,240.16 = 12,539.10/x
  3. Step 3: Cross multiply
    17,583.64x = 24,240.16 × 12,539.10
  4. Step 4: Simplify right side
    17,583.64x = 303,949,790.26
  5. Step 5: Solve for x
    x = 303,949,790.26/17,583.64
  6. Step 6: Final answer
    x = 17,285.94

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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.