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Finding the Fourth Proportional to 23,402.28, 32,284.86 and 13,965.38

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Solution

The fourth proportional to 23,402.28, 32,284.86 and 13,965.38 is: 19,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.28 : 32,284.86 = 13,965.38 : x
  2. Step 2: Convert to fraction form
    23,402.28/32,284.86 = 13,965.38/x
  3. Step 3: Cross multiply
    23,402.28x = 32,284.86 × 13,965.38
  4. Step 4: Simplify right side
    23,402.28x = 450,870,176.72
  5. Step 5: Solve for x
    x = 450,870,176.72/23,402.28
  6. Step 6: Final answer
    x = 19,266.08

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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.