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Finding the Fourth Proportional to 17,533.64, 26,299.74 and 9,737.48

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Solution

The fourth proportional to 17,533.64, 26,299.74 and 9,737.48 is: 14,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.64 : 26,299.74 = 9,737.48 : x
  2. Step 2: Convert to fraction form
    17,533.64/26,299.74 = 9,737.48/x
  3. Step 3: Cross multiply
    17,533.64x = 26,299.74 × 9,737.48
  4. Step 4: Simplify right side
    17,533.64x = 256,093,192.26
  5. Step 5: Solve for x
    x = 256,093,192.26/17,533.64
  6. Step 6: Final answer
    x = 14,605.82

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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.