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Finding the Fourth Proportional to 17,491.84, 24,138.72 and 9,534.08

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Solution

The fourth proportional to 17,491.84, 24,138.72 and 9,534.08 is: 13,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.84 : 24,138.72 = 9,534.08 : x
  2. Step 2: Convert to fraction form
    17,491.84/24,138.72 = 9,534.08/x
  3. Step 3: Cross multiply
    17,491.84x = 24,138.72 × 9,534.08
  4. Step 4: Simplify right side
    17,491.84x = 230,140,487.58
  5. Step 5: Solve for x
    x = 230,140,487.58/17,491.84
  6. Step 6: Final answer
    x = 13,157.02

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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.