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Finding the Fourth Proportional to 23,886.14, 32,959.41 and 13,275.14

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Solution

The fourth proportional to 23,886.14, 32,959.41 and 13,275.14 is: 18,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.14 : 32,959.41 = 13,275.14 : x
  2. Step 2: Convert to fraction form
    23,886.14/32,959.41 = 13,275.14/x
  3. Step 3: Cross multiply
    23,886.14x = 32,959.41 × 13,275.14
  4. Step 4: Simplify right side
    23,886.14x = 437,540,782.07
  5. Step 5: Solve for x
    x = 437,540,782.07/23,886.14
  6. Step 6: Final answer
    x = 18,317.77

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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.