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Finding the Fourth Proportional to 23,837.52, 32,895 and 13,228.14

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Solution

The fourth proportional to 23,837.52, 32,895 and 13,228.14 is: 18,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.52 : 32,895 = 13,228.14 : x
  2. Step 2: Convert to fraction form
    23,837.52/32,895 = 13,228.14/x
  3. Step 3: Cross multiply
    23,837.52x = 32,895 × 13,228.14
  4. Step 4: Simplify right side
    23,837.52x = 435,139,665.30
  5. Step 5: Solve for x
    x = 435,139,665.30/23,837.52
  6. Step 6: Final answer
    x = 18,254.40

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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.