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Finding the Fourth Proportional to 14,284.54, 19,712.76 and 7,911.34

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Solution

The fourth proportional to 14,284.54, 19,712.76 and 7,911.34 is: 10,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.54 : 19,712.76 = 7,911.34 : x
  2. Step 2: Convert to fraction form
    14,284.54/19,712.76 = 7,911.34/x
  3. Step 3: Cross multiply
    14,284.54x = 19,712.76 × 7,911.34
  4. Step 4: Simplify right side
    14,284.54x = 155,954,346.70
  5. Step 5: Solve for x
    x = 155,954,346.70/14,284.54
  6. Step 6: Final answer
    x = 10,917.70

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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.