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Finding the Fourth Proportional to 14,258.54, 19,676.81 and 7,970.91

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Solution

The fourth proportional to 14,258.54, 19,676.81 and 7,970.91 is: 10,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.54 : 19,676.81 = 7,970.91 : x
  2. Step 2: Convert to fraction form
    14,258.54/19,676.81 = 7,970.91/x
  3. Step 3: Cross multiply
    14,258.54x = 19,676.81 × 7,970.91
  4. Step 4: Simplify right side
    14,258.54x = 156,842,081.60
  5. Step 5: Solve for x
    x = 156,842,081.60/14,258.54
  6. Step 6: Final answer
    x = 10,999.87

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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.