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Finding the Fourth Proportional to 23,691.51, 32,680.13 and 14,258.25

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Solution

The fourth proportional to 23,691.51, 32,680.13 and 14,258.25 is: 19,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.51 : 32,680.13 = 14,258.25 : x
  2. Step 2: Convert to fraction form
    23,691.51/32,680.13 = 14,258.25/x
  3. Step 3: Cross multiply
    23,691.51x = 32,680.13 × 14,258.25
  4. Step 4: Simplify right side
    23,691.51x = 465,961,392.28
  5. Step 5: Solve for x
    x = 465,961,392.28/23,691.51
  6. Step 6: Final answer
    x = 19,667.86

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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.