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Finding the Fourth Proportional to 17,434.42, 24,059.35 and 9,476.44

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Solution

The fourth proportional to 17,434.42, 24,059.35 and 9,476.44 is: 13,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.42 : 24,059.35 = 9,476.44 : x
  2. Step 2: Convert to fraction form
    17,434.42/24,059.35 = 9,476.44/x
  3. Step 3: Cross multiply
    17,434.42x = 24,059.35 × 9,476.44
  4. Step 4: Simplify right side
    17,434.42x = 227,996,986.71
  5. Step 5: Solve for x
    x = 227,996,986.71/17,434.42
  6. Step 6: Final answer
    x = 13,077.41

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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.