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Finding the Fourth Proportional to 17,491.64, 24,138.60 and 9,533.84

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Solution

The fourth proportional to 17,491.64, 24,138.60 and 9,533.84 is: 13,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.64 : 24,138.60 = 9,533.84 : x
  2. Step 2: Convert to fraction form
    17,491.64/24,138.60 = 9,533.84/x
  3. Step 3: Cross multiply
    17,491.64x = 24,138.60 × 9,533.84
  4. Step 4: Simplify right side
    17,491.64x = 230,133,550.22
  5. Step 5: Solve for x
    x = 230,133,550.22/17,491.64
  6. Step 6: Final answer
    x = 13,156.77

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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.