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Finding the Fourth Proportional to 23,396.28, 32,281.66 and 13,963

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Solution

The fourth proportional to 23,396.28, 32,281.66 and 13,963 is: 19,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396.28 : 32,281.66 = 13,963 : x
  2. Step 2: Convert to fraction form
    23,396.28/32,281.66 = 13,963/x
  3. Step 3: Cross multiply
    23,396.28x = 32,281.66 × 13,963
  4. Step 4: Simplify right side
    23,396.28x = 450,748,818.58
  5. Step 5: Solve for x
    x = 450,748,818.58/23,396.28
  6. Step 6: Final answer
    x = 19,265.83

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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.