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Finding the Fourth Proportional to 17,534.28, 24,197.28 and 10,464.84

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Solution

The fourth proportional to 17,534.28, 24,197.28 and 10,464.84 is: 14,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.28 : 24,197.28 = 10,464.84 : x
  2. Step 2: Convert to fraction form
    17,534.28/24,197.28 = 10,464.84/x
  3. Step 3: Cross multiply
    17,534.28x = 24,197.28 × 10,464.84
  4. Step 4: Simplify right side
    17,534.28x = 253,220,663.64
  5. Step 5: Solve for x
    x = 253,220,663.64/17,534.28
  6. Step 6: Final answer
    x = 14,441.46

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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.