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Finding the Fourth Proportional to 14,258.25, 19,676.82 and 7,970.64

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Solution

The fourth proportional to 14,258.25, 19,676.82 and 7,970.64 is: 10,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.25 : 19,676.82 = 7,970.64 : x
  2. Step 2: Convert to fraction form
    14,258.25/19,676.82 = 7,970.64/x
  3. Step 3: Cross multiply
    14,258.25x = 19,676.82 × 7,970.64
  4. Step 4: Simplify right side
    14,258.25x = 156,836,848.56
  5. Step 5: Solve for x
    x = 156,836,848.56/14,258.25
  6. Step 6: Final answer
    x = 10,999.73

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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.